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y=ln(absolute(cos(x^(1/2))))+x^(1/2)*tg(x^(1/2))
Derivada de la función/ y=ln(absolute(cos(x^(1/2))))+x^(1/2)*tg(x^(1/2))

Derivada de y=ln(absolute(cos(x^(1/2))))+x^(1/2)*tg(x^(1/2))

Función f() - derivada -er orden en el punto
v

Gráfico:

interior superior

Definida a trozos:

Solución

Ha introducido [src] 
   /|   /  ___\|\     ___    /  ___\
log\|cos\\/ x /|/ + \/ x *tan\\/ x /
xtan⁡(x)+log⁡(∣cos⁡(x)∣)\sqrt{x} \tan{\left(\sqrt{x} \right)} + \log{\left(\left|{\cos{\left(\sqrt{x} \right)}}\right| \right)} 
log(Abs(cos(sqrt(x)))) + sqrt(x)*tan(sqrt(x))
Gráfica
02468-8-6-4-2-1010-20002000
Trazar el gráfico f(x)
Trazar el gráfico f'(x)
Primera derivada [src] 
                               //   /    _________                 \                              /    _________                 \                        /    _________                 \            /    _________                 \\                                                                            /                      /    _________                 \             /    _________                 \       /    _________                 \                             /    _________                 \\                                                                         \                 
                               ||   |   /    x        /atan2(0, x)\|            /atan2(0, x)\     |   /    x        /atan2(0, x)\|      /atan2(0, x)\     |   /    x        /atan2(0, x)\|            |   /    x        /atan2(0, x)\||                                                                            |     /atan2(0, x)\    |   /    x        /atan2(0, x)\|             |   /    x        /atan2(0, x)\|       |   /    x        /atan2(0, x)\|            /atan2(0, x)\    |   /    x        /atan2(0, x)\||                                                                         |                 
                               ||cos|  /  ------- *cos|-----------||*sign(x)*sin|-----------|*sinh|  /  ------- *sin|-----------||   cos|-----------|*cosh|  /  ------- *sin|-----------||*sign(x)*sin|  /  ------- *cos|-----------|||    /    _________                 \     /    _________                 \   |  cos|-----------|*cos|  /  ------- *cos|-----------||*sign(x)*sinh|  /  ------- *sin|-----------||   cosh|  /  ------- *sin|-----------||*sign(x)*sin|-----------|*sin|  /  ------- *cos|-----------|||    /    _________                 \     /    _________                 \|                 
                               ||   \\/   sign(x)     \     2     //            \     2     /     \\/   sign(x)     \     2     //      \     2     /     \\/   sign(x)     \     2     //            \\/   sign(x)     \     2     //|    |   /    x        /atan2(0, x)\|     |   /    x        /atan2(0, x)\|   |     \     2     /    \\/   sign(x)     \     2     //             \\/   sign(x)     \     2     //       \\/   sign(x)     \     2     //            \     2     /    \\/   sign(x)     \     2     //|    |   /    x        /atan2(0, x)\|     |   /    x        /atan2(0, x)\||     /   /  ___\\
                               ||------------------------------------------------------------------------------------------------- - -------------------------------------------------------------------------------------------------|*cos|  /  ------- *cos|-----------||*cosh|  /  ------- *sin|-----------|| - |- ------------------------------------------------------------------------------------------------- - -------------------------------------------------------------------------------------------------|*sin|  /  ------- *cos|-----------||*sinh|  /  ------- *sin|-----------|||*sign\cos\\/ x //
                               ||                                               _________                                                                                           _________                                         |    \\/   sign(x)     \     2     //     \\/   sign(x)     \     2     //   |                                                 _________                                                                                           _________                                         |    \\/   sign(x)     \     2     //     \\/   sign(x)     \     2     //|                 
                               ||                                              /    x                                                                                              /    x                                             |                                                                            |                                                /    x                                                                                              /    x                                             |                                                                         |                 
       2/  ___\      /  ___\   ||                                         2*  /  -------                                                                                      2*  /  -------                                          |                                                                            |                                           2*  /  -------                                                                                      2*  /  -------                                          |                                                                         |                 
1   tan \\/ x /   tan\\/ x /   \\                                           \/   sign(x)                                                                                        \/   sign(x)                                          /                                                                            \                                             \/   sign(x)                                                                                        \/   sign(x)                                          /                                                                         /                 
- + ----------- + ---------- + ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
2        2             ___                                                                                                                                                                                                                                                                                     |   /  ___\|    /  ___\                                                                                                                                                                                                                                                                                 
                   2*\/ x                                                                                                                                                                                                                                                                                      |cos\\/ x /|*cos\\/ x /
(−(−sin⁡(xsign⁡(x)cos⁡(atan2⁡(0,x)2))sin⁡(atan2⁡(0,x)2)cosh⁡(xsign⁡(x)sin⁡(atan2⁡(0,x)2))sign⁡(x)2xsign⁡(x)−cos⁡(xsign⁡(x)cos⁡(atan2⁡(0,x)2))cos⁡(atan2⁡(0,x)2)sinh⁡(xsign⁡(x)sin⁡(atan2⁡(0,x)2))sign⁡(x)2xsign⁡(x))sin⁡(xsign⁡(x)cos⁡(atan2⁡(0,x)2))sinh⁡(xsign⁡(x)sin⁡(atan2⁡(0,x)2))+(−sin⁡(xsign⁡(x)cos⁡(atan2⁡(0,x)2))cos⁡(atan2⁡(0,x)2)cosh⁡(xsign⁡(x)sin⁡(atan2⁡(0,x)2))sign⁡(x)2xsign⁡(x)+sin⁡(atan2⁡(0,x)2)cos⁡(xsign⁡(x)cos⁡(atan2⁡(0,x)2))sinh⁡(xsign⁡(x)sin⁡(atan2⁡(0,x)2))sign⁡(x)2xsign⁡(x))cos⁡(xsign⁡(x)cos⁡(atan2⁡(0,x)2))cosh⁡(xsign⁡(x)sin⁡(atan2⁡(0,x)2)))sign⁡(cos⁡(x))cos⁡(x)∣cos⁡(x)∣+tan⁡2(x)2+12+tan⁡(x)2x\frac{\left(- \left(- \frac{\sin{\left(\sqrt{\frac{x}{\operatorname{sign}{\left(x \right)}}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(0,x \right)}}{2} \right)} \right)} \sin{\left(\frac{\operatorname{atan_{2}}{\left(0,x \right)}}{2} \right)} \cosh{\left(\sqrt{\frac{x}{\operatorname{sign}{\left(x \right)}}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(0,x \right)}}{2} \right)} \right)} \operatorname{sign}{\left(x \right)}}{2 \sqrt{\frac{x}{\operatorname{sign}{\left(x \right)}}}} - \frac{\cos{\left(\sqrt{\frac{x}{\operatorname{sign}{\left(x \right)}}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(0,x \right)}}{2} \right)} \right)} \cos{\left(\frac{\operatorname{atan_{2}}{\left(0,x \right)}}{2} \right)} \sinh{\left(\sqrt{\frac{x}{\operatorname{sign}{\left(x \right)}}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(0,x \right)}}{2} \right)} \right)} \operatorname{sign}{\left(x \right)}}{2 \sqrt{\frac{x}{\operatorname{sign}{\left(x \right)}}}}\right) \sin{\left(\sqrt{\frac{x}{\operatorname{sign}{\left(x \right)}}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(0,x \right)}}{2} \right)} \right)} \sinh{\left(\sqrt{\frac{x}{\operatorname{sign}{\left(x \right)}}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(0,x \right)}}{2} \right)} \right)} + \left(- \frac{\sin{\left(\sqrt{\frac{x}{\operatorname{sign}{\left(x \right)}}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(0,x \right)}}{2} \right)} \right)} \cos{\left(\frac{\operatorname{atan_{2}}{\left(0,x \right)}}{2} \right)} \cosh{\left(\sqrt{\frac{x}{\operatorname{sign}{\left(x \right)}}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(0,x \right)}}{2} \right)} \right)} \operatorname{sign}{\left(x \right)}}{2 \sqrt{\frac{x}{\operatorname{sign}{\left(x \right)}}}} + \frac{\sin{\left(\frac{\operatorname{atan_{2}}{\left(0,x \right)}}{2} \right)} \cos{\left(\sqrt{\frac{x}{\operatorname{sign}{\left(x \right)}}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(0,x \right)}}{2} \right)} \right)} \sinh{\left(\sqrt{\frac{x}{\operatorname{sign}{\left(x \right)}}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(0,x \right)}}{2} \right)} \right)} \operatorname{sign}{\left(x \right)}}{2 \sqrt{\frac{x}{\operatorname{sign}{\left(x \right)}}}}\right) \cos{\left(\sqrt{\frac{x}{\operatorname{sign}{\left(x \right)}}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(0,x \right)}}{2} \right)} \right)} \cosh{\left(\sqrt{\frac{x}{\operatorname{sign}{\left(x \right)}}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(0,x \right)}}{2} \right)} \right)}\right) \operatorname{sign}{\left(\cos{\left(\sqrt{x} \right)} \right)}}{\cos{\left(\sqrt{x} \right)} \left|{\cos{\left(\sqrt{x} \right)}}\right|} + \frac{\tan^{2}{\left(\sqrt{x} \right)}}{2} + \frac{1}{2} + \frac{\tan{\left(\sqrt{x} \right)}}{2 \sqrt{x}}
Simplificar
Segunda derivada [src] 
                                                                /  /                                       /    _________                 \    /    _________                 \                      /    _________                 \                      /    _________                 \                                                 /    _________                 \     /    _________                 \                                                         /    _________                 \     /    _________                 \                                       /    _________                 \                              /    _________                 \                                                 /    _________                 \            /    _________                 \                                                                           /    _________                 \     /    _________                 \\                                                                            /                                    /    _________                 \     /    _________                 \                       /    _________                 \                     /    _________                 \                                                         /    _________                 \     /    _________                 \                                                         /    _________                 \     /    _________                 \                                                /    _________                 \             /    _________                 \                                /    _________                 \                             /    _________                 \                                                  /    _________                 \     /    _________                 \                         \                                                                                                     /                    /    _________                 \     /    _________                 \       /    _________                 \                     /    _________                 \\                     /    _________                 \             /    _________                 \                            /                    /    _________                 \     /    _________                 \       /    _________                 \                     /    _________                 \\     /    _________                 \                             /    _________                 \                            /                     /    _________                 \    /    _________                 \      /    _________                 \                      /    _________                 \\                      /    _________                 \            /    _________                 \                            /                     /    _________                 \    /    _________                 \      /    _________                 \                      /    _________                 \\    /    _________                 \                              /    _________                 \\                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        
                                                                |  |                     /atan2(0, x)\     |   /    x        /atan2(0, x)\|    |   /    x        /atan2(0, x)\|                      |   /    x        /atan2(0, x)\|    /atan2(0, x)\     |   /    x        /atan2(0, x)\|      2/atan2(0, x)\ /     2*x*DiracDelta(x)\    |   /    x        /atan2(0, x)\|     |   /    x        /atan2(0, x)\|              2/atan2(0, x)\ /     2*x*DiracDelta(x)\    |   /    x        /atan2(0, x)\|     |   /    x        /atan2(0, x)\|           /     2*x*DiracDelta(x)\    |   /    x        /atan2(0, x)\|            /atan2(0, x)\     |   /    x        /atan2(0, x)\|   /     2*x*DiracDelta(x)\    /atan2(0, x)\     |   /    x        /atan2(0, x)\|            |   /    x        /atan2(0, x)\|     /     2*x*DiracDelta(x)\    /atan2(0, x)\            /atan2(0, x)\    |   /    x        /atan2(0, x)\|     |   /    x        /atan2(0, x)\||                                                                            |                   /atan2(0, x)\    |   /    x        /atan2(0, x)\|     |   /    x        /atan2(0, x)\|                       |   /    x        /atan2(0, x)\|    /atan2(0, x)\    |   /    x        /atan2(0, x)\|      2/atan2(0, x)\ /     2*x*DiracDelta(x)\            |   /    x        /atan2(0, x)\|     |   /    x        /atan2(0, x)\|      2/atan2(0, x)\ /     2*x*DiracDelta(x)\            |   /    x        /atan2(0, x)\|     |   /    x        /atan2(0, x)\|   /     2*x*DiracDelta(x)\    /atan2(0, x)\    |   /    x        /atan2(0, x)\|             |   /    x        /atan2(0, x)\|   /     2*x*DiracDelta(x)\     |   /    x        /atan2(0, x)\|            /atan2(0, x)\    |   /    x        /atan2(0, x)\|     /     2*x*DiracDelta(x)\    /atan2(0, x)\    |   /    x        /atan2(0, x)\|     |   /    x        /atan2(0, x)\|            /atan2(0, x)\|                                                                            /     2*x*DiracDelta(x)\ |   /atan2(0, x)\    |   /    x        /atan2(0, x)\|     |   /    x        /atan2(0, x)\|       |   /    x        /atan2(0, x)\|    /atan2(0, x)\    |   /    x        /atan2(0, x)\||    /atan2(0, x)\    |   /    x        /atan2(0, x)\|             |   /    x        /atan2(0, x)\|   /     2*x*DiracDelta(x)\ |   /atan2(0, x)\    |   /    x        /atan2(0, x)\|     |   /    x        /atan2(0, x)\|       |   /    x        /atan2(0, x)\|    /atan2(0, x)\    |   /    x        /atan2(0, x)\||     |   /    x        /atan2(0, x)\|            /atan2(0, x)\    |   /    x        /atan2(0, x)\|   /     2*x*DiracDelta(x)\ |   /atan2(0, x)\     |   /    x        /atan2(0, x)\|    |   /    x        /atan2(0, x)\|      |   /    x        /atan2(0, x)\|    /atan2(0, x)\     |   /    x        /atan2(0, x)\||    /atan2(0, x)\     |   /    x        /atan2(0, x)\|            |   /    x        /atan2(0, x)\|   /     2*x*DiracDelta(x)\ |   /atan2(0, x)\     |   /    x        /atan2(0, x)\|    |   /    x        /atan2(0, x)\|      |   /    x        /atan2(0, x)\|    /atan2(0, x)\     |   /    x        /atan2(0, x)\||    |   /    x        /atan2(0, x)\|            /atan2(0, x)\     |   /    x        /atan2(0, x)\||                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        
                                                                |  |  4*DiracDelta(x)*cos|-----------|*cosh|  /  ------- *sin|-----------||*sin|  /  ------- *cos|-----------||   4*DiracDelta(x)*cos|  /  ------- *cos|-----------||*sin|-----------|*sinh|  /  ------- *sin|-----------||   cos |-----------|*|-1 + -----------------|*cos|  /  ------- *cos|-----------||*cosh|  /  ------- *sin|-----------||*sign(x)   sin |-----------|*|-1 + -----------------|*cos|  /  ------- *cos|-----------||*cosh|  /  ------- *sin|-----------||*sign(x)   |-1 + -----------------|*cos|  /  ------- *cos|-----------||*sign(x)*sin|-----------|*sinh|  /  ------- *sin|-----------||   |-1 + -----------------|*cos|-----------|*cosh|  /  ------- *sin|-----------||*sign(x)*sin|  /  ------- *cos|-----------||   2*|-1 + -----------------|*cos|-----------|*sign(x)*sin|-----------|*sin|  /  ------- *cos|-----------||*sinh|  /  ------- *sin|-----------|||    /    _________                 \     /    _________                 \   |4*DiracDelta(x)*cos|-----------|*cos|  /  ------- *cos|-----------||*sinh|  /  ------- *sin|-----------||   4*DiracDelta(x)*cosh|  /  ------- *sin|-----------||*sin|-----------|*sin|  /  ------- *cos|-----------||   cos |-----------|*|-1 + -----------------|*sign(x)*sin|  /  ------- *cos|-----------||*sinh|  /  ------- *sin|-----------||   sin |-----------|*|-1 + -----------------|*sign(x)*sin|  /  ------- *cos|-----------||*sinh|  /  ------- *sin|-----------||   |-1 + -----------------|*cos|-----------|*cos|  /  ------- *cos|-----------||*sign(x)*sinh|  /  ------- *sin|-----------||   |-1 + -----------------|*cosh|  /  ------- *sin|-----------||*sign(x)*sin|-----------|*sin|  /  ------- *cos|-----------||   2*|-1 + -----------------|*cos|-----------|*cos|  /  ------- *cos|-----------||*cosh|  /  ------- *sin|-----------||*sign(x)*sin|-----------||    /    _________                 \     /    _________                 \   |-1 + -----------------|*|cos|-----------|*cos|  /  ------- *cos|-----------||*sinh|  /  ------- *sin|-----------|| + cosh|  /  ------- *sin|-----------||*sin|-----------|*sin|  /  ------- *cos|-----------|||*cos|-----------|*cos|  /  ------- *cos|-----------||*sign(x)*sinh|  /  ------- *sin|-----------||   |-1 + -----------------|*|cos|-----------|*cos|  /  ------- *cos|-----------||*sinh|  /  ------- *sin|-----------|| + cosh|  /  ------- *sin|-----------||*sin|-----------|*sin|  /  ------- *cos|-----------|||*cosh|  /  ------- *sin|-----------||*sign(x)*sin|-----------|*sin|  /  ------- *cos|-----------||   |-1 + -----------------|*|cos|-----------|*cosh|  /  ------- *sin|-----------||*sin|  /  ------- *cos|-----------|| - cos|  /  ------- *cos|-----------||*sin|-----------|*sinh|  /  ------- *sin|-----------|||*cos|-----------|*cosh|  /  ------- *sin|-----------||*sign(x)*sin|  /  ------- *cos|-----------||   |-1 + -----------------|*|cos|-----------|*cosh|  /  ------- *sin|-----------||*sin|  /  ------- *cos|-----------|| - cos|  /  ------- *cos|-----------||*sin|-----------|*sinh|  /  ------- *sin|-----------|||*cos|  /  ------- *cos|-----------||*sign(x)*sin|-----------|*sinh|  /  ------- *sin|-----------|||                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        
                                                                |  |                     \     2     /     \\/   sign(x)     \     2     //    \\/   sign(x)     \     2     //                      \\/   sign(x)     \     2     //    \     2     /     \\/   sign(x)     \     2     //       \     2     / \          sign(x)     /    \\/   sign(x)     \     2     //     \\/   sign(x)     \     2     //               \     2     / \          sign(x)     /    \\/   sign(x)     \     2     //     \\/   sign(x)     \     2     //           \          sign(x)     /    \\/   sign(x)     \     2     //            \     2     /     \\/   sign(x)     \     2     //   \          sign(x)     /    \     2     /     \\/   sign(x)     \     2     //            \\/   sign(x)     \     2     //     \          sign(x)     /    \     2     /            \     2     /    \\/   sign(x)     \     2     //     \\/   sign(x)     \     2     //|    |   /    x        /atan2(0, x)\|     |   /    x        /atan2(0, x)\|   |                   \     2     /    \\/   sign(x)     \     2     //     \\/   sign(x)     \     2     //                       \\/   sign(x)     \     2     //    \     2     /    \\/   sign(x)     \     2     //       \     2     / \          sign(x)     /            \\/   sign(x)     \     2     //     \\/   sign(x)     \     2     //       \     2     / \          sign(x)     /            \\/   sign(x)     \     2     //     \\/   sign(x)     \     2     //   \          sign(x)     /    \     2     /    \\/   sign(x)     \     2     //             \\/   sign(x)     \     2     //   \          sign(x)     /     \\/   sign(x)     \     2     //            \     2     /    \\/   sign(x)     \     2     //     \          sign(x)     /    \     2     /    \\/   sign(x)     \     2     //     \\/   sign(x)     \     2     //            \     2     /|    |   /    x        /atan2(0, x)\|     |   /    x        /atan2(0, x)\|   \          sign(x)     / \   \     2     /    \\/   sign(x)     \     2     //     \\/   sign(x)     \     2     //       \\/   sign(x)     \     2     //    \     2     /    \\/   sign(x)     \     2     ///    \     2     /    \\/   sign(x)     \     2     //             \\/   sign(x)     \     2     //   \          sign(x)     / \   \     2     /    \\/   sign(x)     \     2     //     \\/   sign(x)     \     2     //       \\/   sign(x)     \     2     //    \     2     /    \\/   sign(x)     \     2     ///     \\/   sign(x)     \     2     //            \     2     /    \\/   sign(x)     \     2     //   \          sign(x)     / \   \     2     /     \\/   sign(x)     \     2     //    \\/   sign(x)     \     2     //      \\/   sign(x)     \     2     //    \     2     /     \\/   sign(x)     \     2     ///    \     2     /     \\/   sign(x)     \     2     //            \\/   sign(x)     \     2     //   \          sign(x)     / \   \     2     /     \\/   sign(x)     \     2     //    \\/   sign(x)     \     2     //      \\/   sign(x)     \     2     //    \     2     /     \\/   sign(x)     \     2     ///    \\/   sign(x)     \     2     //            \     2     /     \\/   sign(x)     \     2     //|     /   /  ___\\                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       
                                                                |- |- --------------------------------------------------------------------------------------------------------- + --------------------------------------------------------------------------------------------------------- + --------------------------------------------------------------------------------------------------------------------------- - --------------------------------------------------------------------------------------------------------------------------- + -------------------------------------------------------------------------------------------------------------------------- - -------------------------------------------------------------------------------------------------------------------------- + ---------------------------------------------------------------------------------------------------------------------------------------------|*cos|  /  ------- *cos|-----------||*cosh|  /  ------- *sin|-----------|| - |--------------------------------------------------------------------------------------------------------- + --------------------------------------------------------------------------------------------------------- + --------------------------------------------------------------------------------------------------------------------------- - --------------------------------------------------------------------------------------------------------------------------- + -------------------------------------------------------------------------------------------------------------------------- + -------------------------------------------------------------------------------------------------------------------------- - ---------------------------------------------------------------------------------------------------------------------------------------------|*sin|  /  ------- *cos|-----------||*sinh|  /  ------- *sin|-----------|| + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------ + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------ + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------ - ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|*sign\cos\\/ x //                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        2                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              
                                                                |  |                                                    _________                                                                                                   _________                                                                                                              x                                                                                                                             x                                                                                                                           _________                                                                                                                    _________                                                                                                                               x                                                                      |    \\/   sign(x)     \     2     //     \\/   sign(x)     \     2     //   |                                                  _________                                                                                                   _________                                                                                                              x                                                                                                                             x                                                                                                                           _________                                                                                                                    _________                                                                                                                               x                                                                      |    \\/   sign(x)     \     2     //     \\/   sign(x)     \     2     //                                                                                                                                                           x                                                                                                                                                                                                                                                                                                                    x                                                                                                                                                                                                                                                                                                                    x                                                                                                                                                                                                                                                                                                                    x                                                                                                                                                         |                    //                    /    _________                 \     /    _________                 \       /    _________                 \                     /    _________                 \\    /    _________                 \     /    _________                 \   /                     /    _________                 \    /    _________                 \      /    _________                 \                      /    _________                 \\    /    _________                 \     /    _________                 \\                                 //                    /    _________                 \     /    _________                 \       /    _________                 \                     /    _________                 \\    /    _________                 \     /    _________                 \   /                     /    _________                 \    /    _________                 \      /    _________                 \                      /    _________                 \\    /    _________                 \     /    _________                 \\                                //                    /    _________                 \     /    _________                 \       /    _________                 \                     /    _________                 \\    /    _________                 \     /    _________                 \   /                     /    _________                 \    /    _________                 \      /    _________                 \                      /    _________                 \\    /    _________                 \     /    _________                 \\                                    
                                                                |  |                                                   /    x                                                                                                      /    x                                                                                                                                                                                                                                                                                                                                                                           /    x                                                                                                                       /    x                                                                                                                                                                                                          |                                                                            |                                                 /    x                                                                                                      /    x                                                                                                                                                                                                                                                                                                                                                                           /    x                                                                                                                       /    x                                                                                                                                                                                                          |                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             |                    ||   /atan2(0, x)\    |   /    x        /atan2(0, x)\|     |   /    x        /atan2(0, x)\|       |   /    x        /atan2(0, x)\|    /atan2(0, x)\    |   /    x        /atan2(0, x)\||    |   /    x        /atan2(0, x)\|     |   /    x        /atan2(0, x)\|   |   /atan2(0, x)\     |   /    x        /atan2(0, x)\|    |   /    x        /atan2(0, x)\|      |   /    x        /atan2(0, x)\|    /atan2(0, x)\     |   /    x        /atan2(0, x)\||    |   /    x        /atan2(0, x)\|     |   /    x        /atan2(0, x)\||      3        2/   /  ___\\     ||   /atan2(0, x)\    |   /    x        /atan2(0, x)\|     |   /    x        /atan2(0, x)\|       |   /    x        /atan2(0, x)\|    /atan2(0, x)\    |   /    x        /atan2(0, x)\||    |   /    x        /atan2(0, x)\|     |   /    x        /atan2(0, x)\|   |   /atan2(0, x)\     |   /    x        /atan2(0, x)\|    |   /    x        /atan2(0, x)\|      |   /    x        /atan2(0, x)\|    /atan2(0, x)\     |   /    x        /atan2(0, x)\||    |   /    x        /atan2(0, x)\|     |   /    x        /atan2(0, x)\|| d /    /   /  ___\\\           ||   /atan2(0, x)\    |   /    x        /atan2(0, x)\|     |   /    x        /atan2(0, x)\|       |   /    x        /atan2(0, x)\|    /atan2(0, x)\    |   /    x        /atan2(0, x)\||    |   /    x        /atan2(0, x)\|     |   /    x        /atan2(0, x)\|   |   /atan2(0, x)\     |   /    x        /atan2(0, x)\|    |   /    x        /atan2(0, x)\|      |   /    x        /atan2(0, x)\|    /atan2(0, x)\     |   /    x        /atan2(0, x)\||    |   /    x        /atan2(0, x)\|     |   /    x        /atan2(0, x)\||             /   /  ___\\    /  ___\
       2/  ___\      /  ___\     /       2/  ___\\    /  ___\   |  |                                                  /  -------                                                                                                  /  -------                                                                                                                                                                                                                                                                                                                                                                   x*  /  -------                                                                                                               x*  /  -------                                                                                                                                                                                                       |                                                                            |                                                /  -------                                                                                                  /  -------                                                                                                                                                                                                                                                                                                                                                                   x*  /  -------                                                                                                               x*  /  -------                                                                                                                                                                                                       |                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             |                    ||cos|-----------|*cos|  /  ------- *cos|-----------||*sinh|  /  ------- *sin|-----------|| + cosh|  /  ------- *sin|-----------||*sin|-----------|*sin|  /  ------- *cos|-----------|||*sin|  /  ------- *cos|-----------||*sinh|  /  ------- *sin|-----------|| - |cos|-----------|*cosh|  /  ------- *sin|-----------||*sin|  /  ------- *cos|-----------|| - cos|  /  ------- *cos|-----------||*sin|-----------|*sinh|  /  ------- *sin|-----------|||*cos|  /  ------- *cos|-----------||*cosh|  /  ------- *sin|-----------||| *sign (x)*sign \cos\\/ x //   2*||cos|-----------|*cos|  /  ------- *cos|-----------||*sinh|  /  ------- *sin|-----------|| + cosh|  /  ------- *sin|-----------||*sin|-----------|*sin|  /  ------- *cos|-----------|||*sin|  /  ------- *cos|-----------||*sinh|  /  ------- *sin|-----------|| - |cos|-----------|*cosh|  /  ------- *sin|-----------||*sin|  /  ------- *cos|-----------|| - cos|  /  ------- *cos|-----------||*sin|-----------|*sinh|  /  ------- *sin|-----------|||*cos|  /  ------- *cos|-----------||*cosh|  /  ------- *sin|-----------|||*--\sign\cos\\/ x ///*sign(x)   ||cos|-----------|*cos|  /  ------- *cos|-----------||*sinh|  /  ------- *sin|-----------|| + cosh|  /  ------- *sin|-----------||*sin|-----------|*sin|  /  ------- *cos|-----------|||*sin|  /  ------- *cos|-----------||*sinh|  /  ------- *sin|-----------|| - |cos|-----------|*cosh|  /  ------- *sin|-----------||*sin|  /  ------- *cos|-----------|| - cos|  /  ------- *cos|-----------||*sin|-----------|*sinh|  /  ------- *sin|-----------|||*cos|  /  ------- *cos|-----------||*cosh|  /  ------- *sin|-----------|||*sign(x)*sign\cos\\/ x //*sin\\/ x /
1 + tan \\/ x /   tan\\/ x /   2*\1 + tan \\/ x //*tan\\/ x /   \  \                                                \/   sign(x)                                                                                                \/   sign(x)                                                                                                                                                                                                                                                                                                                                                                     \/   sign(x)                                                                                                                 \/   sign(x)                                                                                                                                                                                                       /                                                                            \                                              \/   sign(x)                                                                                                \/   sign(x)                                                                                                                                                                                                                                                                                                                                                                     \/   sign(x)                                                                                                                 \/   sign(x)                                                                                                                                                                                                       /                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             /                    \\   \     2     /    \\/   sign(x)     \     2     //     \\/   sign(x)     \     2     //       \\/   sign(x)     \     2     //    \     2     /    \\/   sign(x)     \     2     ///    \\/   sign(x)     \     2     //     \\/   sign(x)     \     2     //   \   \     2     /     \\/   sign(x)     \     2     //    \\/   sign(x)     \     2     //      \\/   sign(x)     \     2     //    \     2     /     \\/   sign(x)     \     2     ///    \\/   sign(x)     \     2     //     \\/   sign(x)     \     2     ///                                 \\   \     2     /    \\/   sign(x)     \     2     //     \\/   sign(x)     \     2     //       \\/   sign(x)     \     2     //    \     2     /    \\/   sign(x)     \     2     ///    \\/   sign(x)     \     2     //     \\/   sign(x)     \     2     //   \   \     2     /     \\/   sign(x)     \     2     //    \\/   sign(x)     \     2     //      \\/   sign(x)     \     2     //    \     2     /     \\/   sign(x)     \     2     ///    \\/   sign(x)     \     2     //     \\/   sign(x)     \     2     /// dx                             \\   \     2     /    \\/   sign(x)     \     2     //     \\/   sign(x)     \     2     //       \\/   sign(x)     \     2     //    \     2     /    \\/   sign(x)     \     2     ///    \\/   sign(x)     \     2     //     \\/   sign(x)     \     2     //   \   \     2     /     \\/   sign(x)     \     2     //    \\/   sign(x)     \     2     //      \\/   sign(x)     \     2     //    \     2     /     \\/   sign(x)     \     2     ///    \\/   sign(x)     \     2     //     \\/   sign(x)     \     2     ///                                    
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                     x                     \/ x                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  |cos\\/ x /|*cos\\/ x /                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          |   /  ___\|     2/  ___\                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        /    x     |   /  ___\|    /  ___\                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ___    /    x     |   /  ___\|    2/  ___\                                                                                                                                                                                                                                                              
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                x*|cos\\/ x /| *cos \\/ x /                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       /  ------- *|cos\\/ x /|*cos\\/ x /                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  \/ x *  /  ------- *|cos\\/ x /|*cos \\/ x /                                                                                                                                                                                                                                                              
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                \/   sign(x)                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 \/   sign(x)                                                                                                                                                                                                                                                                                        
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        4
−(−(4sin⁡(xsign⁡(x)cos⁡(atan2⁡(0,x)2))sin⁡(atan2⁡(0,x)2)cosh⁡(xsign⁡(x)sin⁡(atan2⁡(0,x)2))δ(x)xsign⁡(x)+4cos⁡(xsign⁡(x)cos⁡(atan2⁡(0,x)2))cos⁡(atan2⁡(0,x)2)sinh⁡(xsign⁡(x)sin⁡(atan2⁡(0,x)2))δ(x)xsign⁡(x)−(2xδ(x)sign⁡(x)−1)sin⁡(xsign⁡(x)cos⁡(atan2⁡(0,x)2))sin⁡2(atan2⁡(0,x)2)sinh⁡(xsign⁡(x)sin⁡(atan2⁡(0,x)2))sign⁡(x)x+(2xδ(x)sign⁡(x)−1)sin⁡(xsign⁡(x)cos⁡(atan2⁡(0,x)2))cos⁡2(atan2⁡(0,x)2)sinh⁡(xsign⁡(x)sin⁡(atan2⁡(0,x)2))sign⁡(x)x−2(2xδ(x)sign⁡(x)−1)sin⁡(atan2⁡(0,x)2)cos⁡(xsign⁡(x)cos⁡(atan2⁡(0,x)2))cos⁡(atan2⁡(0,x)2)cosh⁡(xsign⁡(x)sin⁡(atan2⁡(0,x)2))sign⁡(x)x+(2xδ(x)sign⁡(x)−1)sin⁡(xsign⁡(x)cos⁡(atan2⁡(0,x)2))sin⁡(atan2⁡(0,x)2)cosh⁡(xsign⁡(x)sin⁡(atan2⁡(0,x)2))sign⁡(x)xxsign⁡(x)+(2xδ(x)sign⁡(x)−1)cos⁡(xsign⁡(x)cos⁡(atan2⁡(0,x)2))cos⁡(atan2⁡(0,x)2)sinh⁡(xsign⁡(x)sin⁡(atan2⁡(0,x)2))sign⁡(x)xxsign⁡(x))sin⁡(xsign⁡(x)cos⁡(atan2⁡(0,x)2))sinh⁡(xsign⁡(x)sin⁡(atan2⁡(0,x)2))−(−4sin⁡(xsign⁡(x)cos⁡(atan2⁡(0,x)2))cos⁡(atan2⁡(0,x)2)cosh⁡(xsign⁡(x)sin⁡(atan2⁡(0,x)2))δ(x)xsign⁡(x)+4sin⁡(atan2⁡(0,x)2)cos⁡(xsign⁡(x)cos⁡(atan2⁡(0,x)2))sinh⁡(xsign⁡(x)sin⁡(atan2⁡(0,x)2))δ(x)xsign⁡(x)+2(2xδ(x)sign⁡(x)−1)sin⁡(xsign⁡(x)cos⁡(atan2⁡(0,x)2))sin⁡(atan2⁡(0,x)2)cos⁡(atan2⁡(0,x)2)sinh⁡(xsign⁡(x)sin⁡(atan2⁡(0,x)2))sign⁡(x)x−(2xδ(x)sign⁡(x)−1)sin⁡2(atan2⁡(0,x)2)cos⁡(xsign⁡(x)cos⁡(atan2⁡(0,x)2))cosh⁡(xsign⁡(x)sin⁡(atan2⁡(0,x)2))sign⁡(x)x+(2xδ(x)sign⁡(x)−1)cos⁡(xsign⁡(x)cos⁡(atan2⁡(0,x)2))cos⁡2(atan2⁡(0,x)2)cosh⁡(xsign⁡(x)sin⁡(atan2⁡(0,x)2))sign⁡(x)x−(2xδ(x)sign⁡(x)−1)sin⁡(xsign⁡(x)cos⁡(atan2⁡(0,x)2))cos⁡(atan2⁡(0,x)2)cosh⁡(xsign⁡(x)sin⁡(atan2⁡(0,x)2))sign⁡(x)xxsign⁡(x)+(2xδ(x)sign⁡(x)−1)sin⁡(atan2⁡(0,x)2)cos⁡(xsign⁡(x)cos⁡(atan2⁡(0,x)2))sinh⁡(xsign⁡(x)sin⁡(atan2⁡(0,x)2))sign⁡(x)xxsign⁡(x))cos⁡(xsign⁡(x)cos⁡(atan2⁡(0,x)2))cosh⁡(xsign⁡(x)sin⁡(atan2⁡(0,x)2))+(2xδ(x)sign⁡(x)−1)(sin⁡(xsign⁡(x)cos⁡(atan2⁡(0,x)2))sin⁡(atan2⁡(0,x)2)cosh⁡(xsign⁡(x)sin⁡(atan2⁡(0,x)2))+cos⁡(xsign⁡(x)cos⁡(atan2⁡(0,x)2))cos⁡(atan2⁡(0,x)2)sinh⁡(xsign⁡(x)sin⁡(atan2⁡(0,x)2)))sin⁡(xsign⁡(x)cos⁡(atan2⁡(0,x)2))sin⁡(atan2⁡(0,x)2)cosh⁡(xsign⁡(x)sin⁡(atan2⁡(0,x)2))sign⁡(x)x+(2xδ(x)sign⁡(x)−1)(sin⁡(xsign⁡(x)cos⁡(atan2⁡(0,x)2))sin⁡(atan2⁡(0,x)2)cosh⁡(xsign⁡(x)sin⁡(atan2⁡(0,x)2))+cos⁡(xsign⁡(x)cos⁡(atan2⁡(0,x)2))cos⁡(atan2⁡(0,x)2)sinh⁡(xsign⁡(x)sin⁡(atan2⁡(0,x)2)))cos⁡(xsign⁡(x)cos⁡(atan2⁡(0,x)2))cos⁡(atan2⁡(0,x)2)sinh⁡(xsign⁡(x)sin⁡(atan2⁡(0,x)2))sign⁡(x)x+(2xδ(x)sign⁡(x)−1)(sin⁡(xsign⁡(x)cos⁡(atan2⁡(0,x)2))cos⁡(atan2⁡(0,x)2)cosh⁡(xsign⁡(x)sin⁡(atan2⁡(0,x)2))−sin⁡(atan2⁡(0,x)2)cos⁡(xsign⁡(x)cos⁡(atan2⁡(0,x)2))sinh⁡(xsign⁡(x)sin⁡(atan2⁡(0,x)2)))sin⁡(xsign⁡(x)cos⁡(atan2⁡(0,x)2))cos⁡(atan2⁡(0,x)2)cosh⁡(xsign⁡(x)sin⁡(atan2⁡(0,x)2))sign⁡(x)x−(2xδ(x)sign⁡(x)−1)(sin⁡(xsign⁡(x)cos⁡(atan2⁡(0,x)2))cos⁡(atan2⁡(0,x)2)cosh⁡(xsign⁡(x)sin⁡(atan2⁡(0,x)2))−sin⁡(atan2⁡(0,x)2)cos⁡(xsign⁡(x)cos⁡(atan2⁡(0,x)2))sinh⁡(xsign⁡(x)sin⁡(atan2⁡(0,x)2)))sin⁡(atan2⁡(0,x)2)cos⁡(xsign⁡(x)cos⁡(atan2⁡(0,x)2))sinh⁡(xsign⁡(x)sin⁡(atan2⁡(0,x)2))sign⁡(x)x)sign⁡(cos⁡(x))cos⁡(x)∣cos⁡(x)∣+2((sin⁡(xsign⁡(x)cos⁡(atan2⁡(0,x)2))sin⁡(atan2⁡(0,x)2)cosh⁡(xsign⁡(x)sin⁡(atan2⁡(0,x)2))+cos⁡(xsign⁡(x)cos⁡(atan2⁡(0,x)2))cos⁡(atan2⁡(0,x)2)sinh⁡(xsign⁡(x)sin⁡(atan2⁡(0,x)2)))sin⁡(xsign⁡(x)cos⁡(atan2⁡(0,x)2))sinh⁡(xsign⁡(x)sin⁡(atan2⁡(0,x)2))−(sin⁡(xsign⁡(x)cos⁡(atan2⁡(0,x)2))cos⁡(atan2⁡(0,x)2)cosh⁡(xsign⁡(x)sin⁡(atan2⁡(0,x)2))−sin⁡(atan2⁡(0,x)2)cos⁡(xsign⁡(x)cos⁡(atan2⁡(0,x)2))sinh⁡(xsign⁡(x)sin⁡(atan2⁡(0,x)2)))cos⁡(xsign⁡(x)cos⁡(atan2⁡(0,x)2))cosh⁡(xsign⁡(x)sin⁡(atan2⁡(0,x)2)))sign⁡(x)ddxsign⁡(cos⁡(x))xsign⁡(x)cos⁡(x)∣cos⁡(x)∣−((sin⁡(xsign⁡(x)cos⁡(atan2⁡(0,x)2))sin⁡(atan2⁡(0,x)2)cosh⁡(xsign⁡(x)sin⁡(atan2⁡(0,x)2))+cos⁡(xsign⁡(x)cos⁡(atan2⁡(0,x)2))cos⁡(atan2⁡(0,x)2)sinh⁡(xsign⁡(x)sin⁡(atan2⁡(0,x)2)))sin⁡(xsign⁡(x)cos⁡(atan2⁡(0,x)2))sinh⁡(xsign⁡(x)sin⁡(atan2⁡(0,x)2))−(sin⁡(xsign⁡(x)cos⁡(atan2⁡(0,x)2))cos⁡(atan2⁡(0,x)2)cosh⁡(xsign⁡(x)sin⁡(atan2⁡(0,x)2))−sin⁡(atan2⁡(0,x)2)cos⁡(xsign⁡(x)cos⁡(atan2⁡(0,x)2))sinh⁡(xsign⁡(x)sin⁡(atan2⁡(0,x)2)))cos⁡(xsign⁡(x)cos⁡(atan2⁡(0,x)2))cosh⁡(xsign⁡(x)sin⁡(atan2⁡(0,x)2)))2sign⁡3(x)sign⁡2(cos⁡(x))xcos⁡2(x)∣cos⁡(x)∣2+tan⁡2(x)+1x+2(tan⁡2(x)+1)tan⁡(x)x+((sin⁡(xsign⁡(x)cos⁡(atan2⁡(0,x)2))sin⁡(atan2⁡(0,x)2)cosh⁡(xsign⁡(x)sin⁡(atan2⁡(0,x)2))+cos⁡(xsign⁡(x)cos⁡(atan2⁡(0,x)2))cos⁡(atan2⁡(0,x)2)sinh⁡(xsign⁡(x)sin⁡(atan2⁡(0,x)2)))sin⁡(xsign⁡(x)cos⁡(atan2⁡(0,x)2))sinh⁡(xsign⁡(x)sin⁡(atan2⁡(0,x)2))−(sin⁡(xsign⁡(x)cos⁡(atan2⁡(0,x)2))cos⁡(atan2⁡(0,x)2)cosh⁡(xsign⁡(x)sin⁡(atan2⁡(0,x)2))−sin⁡(atan2⁡(0,x)2)cos⁡(xsign⁡(x)cos⁡(atan2⁡(0,x)2))sinh⁡(xsign⁡(x)sin⁡(atan2⁡(0,x)2)))cos⁡(xsign⁡(x)cos⁡(atan2⁡(0,x)2))cosh⁡(xsign⁡(x)sin⁡(atan2⁡(0,x)2)))sin⁡(x)sign⁡(x)sign⁡(cos⁡(x))xxsign⁡(x)cos⁡2(x)∣cos⁡(x)∣−tan⁡(x)x324\frac{- \frac{\left(- \left(\frac{4 \sin{\left(\sqrt{\frac{x}{\operatorname{sign}{\left(x \right)}}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(0,x \right)}}{2} \right)} \right)} \sin{\left(\frac{\operatorname{atan_{2}}{\left(0,x \right)}}{2} \right)} \cosh{\left(\sqrt{\frac{x}{\operatorname{sign}{\left(x \right)}}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(0,x \right)}}{2} \right)} \right)} \delta\left(x\right)}{\sqrt{\frac{x}{\operatorname{sign}{\left(x \right)}}}} + \frac{4 \cos{\left(\sqrt{\frac{x}{\operatorname{sign}{\left(x \right)}}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(0,x \right)}}{2} \right)} \right)} \cos{\left(\frac{\operatorname{atan_{2}}{\left(0,x \right)}}{2} \right)} \sinh{\left(\sqrt{\frac{x}{\operatorname{sign}{\left(x \right)}}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(0,x \right)}}{2} \right)} \right)} \delta\left(x\right)}{\sqrt{\frac{x}{\operatorname{sign}{\left(x \right)}}}} - \frac{\left(\frac{2 x \delta\left(x\right)}{\operatorname{sign}{\left(x \right)}} - 1\right) \sin{\left(\sqrt{\frac{x}{\operatorname{sign}{\left(x \right)}}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(0,x \right)}}{2} \right)} \right)} \sin^{2}{\left(\frac{\operatorname{atan_{2}}{\left(0,x \right)}}{2} \right)} \sinh{\left(\sqrt{\frac{x}{\operatorname{sign}{\left(x \right)}}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(0,x \right)}}{2} \right)} \right)} \operatorname{sign}{\left(x \right)}}{x} + \frac{\left(\frac{2 x \delta\left(x\right)}{\operatorname{sign}{\left(x \right)}} - 1\right) \sin{\left(\sqrt{\frac{x}{\operatorname{sign}{\left(x \right)}}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(0,x \right)}}{2} \right)} \right)} \cos^{2}{\left(\frac{\operatorname{atan_{2}}{\left(0,x \right)}}{2} \right)} \sinh{\left(\sqrt{\frac{x}{\operatorname{sign}{\left(x \right)}}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(0,x \right)}}{2} \right)} \right)} \operatorname{sign}{\left(x \right)}}{x} - \frac{2 \left(\frac{2 x \delta\left(x\right)}{\operatorname{sign}{\left(x \right)}} - 1\right) \sin{\left(\frac{\operatorname{atan_{2}}{\left(0,x \right)}}{2} \right)} \cos{\left(\sqrt{\frac{x}{\operatorname{sign}{\left(x \right)}}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(0,x \right)}}{2} \right)} \right)} \cos{\left(\frac{\operatorname{atan_{2}}{\left(0,x \right)}}{2} \right)} \cosh{\left(\sqrt{\frac{x}{\operatorname{sign}{\left(x \right)}}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(0,x \right)}}{2} \right)} \right)} \operatorname{sign}{\left(x \right)}}{x} + \frac{\left(\frac{2 x \delta\left(x\right)}{\operatorname{sign}{\left(x \right)}} - 1\right) \sin{\left(\sqrt{\frac{x}{\operatorname{sign}{\left(x \right)}}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(0,x \right)}}{2} \right)} \right)} \sin{\left(\frac{\operatorname{atan_{2}}{\left(0,x \right)}}{2} \right)} \cosh{\left(\sqrt{\frac{x}{\operatorname{sign}{\left(x \right)}}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(0,x \right)}}{2} \right)} \right)} \operatorname{sign}{\left(x \right)}}{x \sqrt{\frac{x}{\operatorname{sign}{\left(x \right)}}}} + \frac{\left(\frac{2 x \delta\left(x\right)}{\operatorname{sign}{\left(x \right)}} - 1\right) \cos{\left(\sqrt{\frac{x}{\operatorname{sign}{\left(x \right)}}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(0,x \right)}}{2} \right)} \right)} \cos{\left(\frac{\operatorname{atan_{2}}{\left(0,x \right)}}{2} \right)} \sinh{\left(\sqrt{\frac{x}{\operatorname{sign}{\left(x \right)}}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(0,x \right)}}{2} \right)} \right)} \operatorname{sign}{\left(x \right)}}{x \sqrt{\frac{x}{\operatorname{sign}{\left(x \right)}}}}\right) \sin{\left(\sqrt{\frac{x}{\operatorname{sign}{\left(x \right)}}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(0,x \right)}}{2} \right)} \right)} \sinh{\left(\sqrt{\frac{x}{\operatorname{sign}{\left(x \right)}}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(0,x \right)}}{2} \right)} \right)} - \left(- \frac{4 \sin{\left(\sqrt{\frac{x}{\operatorname{sign}{\left(x \right)}}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(0,x \right)}}{2} \right)} \right)} \cos{\left(\frac{\operatorname{atan_{2}}{\left(0,x \right)}}{2} \right)} \cosh{\left(\sqrt{\frac{x}{\operatorname{sign}{\left(x \right)}}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(0,x \right)}}{2} \right)} \right)} \delta\left(x\right)}{\sqrt{\frac{x}{\operatorname{sign}{\left(x \right)}}}} + \frac{4 \sin{\left(\frac{\operatorname{atan_{2}}{\left(0,x \right)}}{2} \right)} \cos{\left(\sqrt{\frac{x}{\operatorname{sign}{\left(x \right)}}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(0,x \right)}}{2} \right)} \right)} \sinh{\left(\sqrt{\frac{x}{\operatorname{sign}{\left(x \right)}}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(0,x \right)}}{2} \right)} \right)} \delta\left(x\right)}{\sqrt{\frac{x}{\operatorname{sign}{\left(x \right)}}}} + \frac{2 \left(\frac{2 x \delta\left(x\right)}{\operatorname{sign}{\left(x \right)}} - 1\right) \sin{\left(\sqrt{\frac{x}{\operatorname{sign}{\left(x \right)}}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(0,x \right)}}{2} \right)} \right)} \sin{\left(\frac{\operatorname{atan_{2}}{\left(0,x \right)}}{2} \right)} \cos{\left(\frac{\operatorname{atan_{2}}{\left(0,x \right)}}{2} \right)} \sinh{\left(\sqrt{\frac{x}{\operatorname{sign}{\left(x \right)}}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(0,x \right)}}{2} \right)} \right)} \operatorname{sign}{\left(x \right)}}{x} - \frac{\left(\frac{2 x \delta\left(x\right)}{\operatorname{sign}{\left(x \right)}} - 1\right) \sin^{2}{\left(\frac{\operatorname{atan_{2}}{\left(0,x \right)}}{2} \right)} \cos{\left(\sqrt{\frac{x}{\operatorname{sign}{\left(x \right)}}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(0,x \right)}}{2} \right)} \right)} \cosh{\left(\sqrt{\frac{x}{\operatorname{sign}{\left(x \right)}}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(0,x \right)}}{2} \right)} \right)} \operatorname{sign}{\left(x \right)}}{x} + \frac{\left(\frac{2 x \delta\left(x\right)}{\operatorname{sign}{\left(x \right)}} - 1\right) \cos{\left(\sqrt{\frac{x}{\operatorname{sign}{\left(x \right)}}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(0,x \right)}}{2} \right)} \right)} \cos^{2}{\left(\frac{\operatorname{atan_{2}}{\left(0,x \right)}}{2} \right)} \cosh{\left(\sqrt{\frac{x}{\operatorname{sign}{\left(x \right)}}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(0,x \right)}}{2} \right)} \right)} \operatorname{sign}{\left(x \right)}}{x} - \frac{\left(\frac{2 x \delta\left(x\right)}{\operatorname{sign}{\left(x \right)}} - 1\right) \sin{\left(\sqrt{\frac{x}{\operatorname{sign}{\left(x \right)}}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(0,x \right)}}{2} \right)} \right)} \cos{\left(\frac{\operatorname{atan_{2}}{\left(0,x \right)}}{2} \right)} \cosh{\left(\sqrt{\frac{x}{\operatorname{sign}{\left(x \right)}}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(0,x \right)}}{2} \right)} \right)} \operatorname{sign}{\left(x \right)}}{x \sqrt{\frac{x}{\operatorname{sign}{\left(x \right)}}}} + \frac{\left(\frac{2 x \delta\left(x\right)}{\operatorname{sign}{\left(x \right)}} - 1\right) \sin{\left(\frac{\operatorname{atan_{2}}{\left(0,x \right)}}{2} \right)} \cos{\left(\sqrt{\frac{x}{\operatorname{sign}{\left(x \right)}}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(0,x \right)}}{2} \right)} \right)} \sinh{\left(\sqrt{\frac{x}{\operatorname{sign}{\left(x \right)}}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(0,x \right)}}{2} \right)} \right)} \operatorname{sign}{\left(x \right)}}{x \sqrt{\frac{x}{\operatorname{sign}{\left(x \right)}}}}\right) \cos{\left(\sqrt{\frac{x}{\operatorname{sign}{\left(x \right)}}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(0,x \right)}}{2} \right)} \right)} \cosh{\left(\sqrt{\frac{x}{\operatorname{sign}{\left(x \right)}}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(0,x \right)}}{2} \right)} \right)} + \frac{\left(\frac{2 x \delta\left(x\right)}{\operatorname{sign}{\left(x \right)}} - 1\right) \left(\sin{\left(\sqrt{\frac{x}{\operatorname{sign}{\left(x \right)}}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(0,x \right)}}{2} \right)} \right)} \sin{\left(\frac{\operatorname{atan_{2}}{\left(0,x \right)}}{2} \right)} \cosh{\left(\sqrt{\frac{x}{\operatorname{sign}{\left(x \right)}}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(0,x \right)}}{2} \right)} \right)} + \cos{\left(\sqrt{\frac{x}{\operatorname{sign}{\left(x \right)}}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(0,x \right)}}{2} \right)} \right)} \cos{\left(\frac{\operatorname{atan_{2}}{\left(0,x \right)}}{2} \right)} \sinh{\left(\sqrt{\frac{x}{\operatorname{sign}{\left(x \right)}}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(0,x \right)}}{2} \right)} \right)}\right) \sin{\left(\sqrt{\frac{x}{\operatorname{sign}{\left(x \right)}}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(0,x \right)}}{2} \right)} \right)} \sin{\left(\frac{\operatorname{atan_{2}}{\left(0,x \right)}}{2} \right)} \cosh{\left(\sqrt{\frac{x}{\operatorname{sign}{\left(x \right)}}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(0,x \right)}}{2} \right)} \right)} \operatorname{sign}{\left(x \right)}}{x} + \frac{\left(\frac{2 x \delta\left(x\right)}{\operatorname{sign}{\left(x \right)}} - 1\right) \left(\sin{\left(\sqrt{\frac{x}{\operatorname{sign}{\left(x \right)}}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(0,x \right)}}{2} \right)} \right)} \sin{\left(\frac{\operatorname{atan_{2}}{\left(0,x \right)}}{2} \right)} \cosh{\left(\sqrt{\frac{x}{\operatorname{sign}{\left(x \right)}}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(0,x \right)}}{2} \right)} \right)} + \cos{\left(\sqrt{\frac{x}{\operatorname{sign}{\left(x \right)}}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(0,x \right)}}{2} \right)} \right)} \cos{\left(\frac{\operatorname{atan_{2}}{\left(0,x \right)}}{2} \right)} \sinh{\left(\sqrt{\frac{x}{\operatorname{sign}{\left(x \right)}}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(0,x \right)}}{2} \right)} \right)}\right) \cos{\left(\sqrt{\frac{x}{\operatorname{sign}{\left(x \right)}}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(0,x \right)}}{2} \right)} \right)} \cos{\left(\frac{\operatorname{atan_{2}}{\left(0,x \right)}}{2} \right)} \sinh{\left(\sqrt{\frac{x}{\operatorname{sign}{\left(x \right)}}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(0,x \right)}}{2} \right)} \right)} \operatorname{sign}{\left(x \right)}}{x} + \frac{\left(\frac{2 x \delta\left(x\right)}{\operatorname{sign}{\left(x \right)}} - 1\right) \left(\sin{\left(\sqrt{\frac{x}{\operatorname{sign}{\left(x \right)}}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(0,x \right)}}{2} \right)} \right)} \cos{\left(\frac{\operatorname{atan_{2}}{\left(0,x \right)}}{2} \right)} \cosh{\left(\sqrt{\frac{x}{\operatorname{sign}{\left(x \right)}}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(0,x \right)}}{2} \right)} \right)} - \sin{\left(\frac{\operatorname{atan_{2}}{\left(0,x \right)}}{2} \right)} \cos{\left(\sqrt{\frac{x}{\operatorname{sign}{\left(x \right)}}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(0,x \right)}}{2} \right)} \right)} \sinh{\left(\sqrt{\frac{x}{\operatorname{sign}{\left(x \right)}}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(0,x \right)}}{2} \right)} \right)}\right) \sin{\left(\sqrt{\frac{x}{\operatorname{sign}{\left(x \right)}}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(0,x \right)}}{2} \right)} \right)} \cos{\left(\frac{\operatorname{atan_{2}}{\left(0,x \right)}}{2} \right)} \cosh{\left(\sqrt{\frac{x}{\operatorname{sign}{\left(x \right)}}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(0,x \right)}}{2} \right)} \right)} \operatorname{sign}{\left(x \right)}}{x} - \frac{\left(\frac{2 x \delta\left(x\right)}{\operatorname{sign}{\left(x \right)}} - 1\right) \left(\sin{\left(\sqrt{\frac{x}{\operatorname{sign}{\left(x \right)}}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(0,x \right)}}{2} \right)} \right)} \cos{\left(\frac{\operatorname{atan_{2}}{\left(0,x \right)}}{2} \right)} \cosh{\left(\sqrt{\frac{x}{\operatorname{sign}{\left(x \right)}}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(0,x \right)}}{2} \right)} \right)} - \sin{\left(\frac{\operatorname{atan_{2}}{\left(0,x \right)}}{2} \right)} \cos{\left(\sqrt{\frac{x}{\operatorname{sign}{\left(x \right)}}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(0,x \right)}}{2} \right)} \right)} \sinh{\left(\sqrt{\frac{x}{\operatorname{sign}{\left(x \right)}}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(0,x \right)}}{2} \right)} \right)}\right) \sin{\left(\frac{\operatorname{atan_{2}}{\left(0,x \right)}}{2} \right)} \cos{\left(\sqrt{\frac{x}{\operatorname{sign}{\left(x \right)}}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(0,x \right)}}{2} \right)} \right)} \sinh{\left(\sqrt{\frac{x}{\operatorname{sign}{\left(x \right)}}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(0,x \right)}}{2} \right)} \right)} \operatorname{sign}{\left(x \right)}}{x}\right) \operatorname{sign}{\left(\cos{\left(\sqrt{x} \right)} \right)}}{\cos{\left(\sqrt{x} \right)} \left|{\cos{\left(\sqrt{x} \right)}}\right|} + \frac{2 \left(\left(\sin{\left(\sqrt{\frac{x}{\operatorname{sign}{\left(x \right)}}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(0,x \right)}}{2} \right)} \right)} \sin{\left(\frac{\operatorname{atan_{2}}{\left(0,x \right)}}{2} \right)} \cosh{\left(\sqrt{\frac{x}{\operatorname{sign}{\left(x \right)}}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(0,x \right)}}{2} \right)} \right)} + \cos{\left(\sqrt{\frac{x}{\operatorname{sign}{\left(x \right)}}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(0,x \right)}}{2} \right)} \right)} \cos{\left(\frac{\operatorname{atan_{2}}{\left(0,x \right)}}{2} \right)} \sinh{\left(\sqrt{\frac{x}{\operatorname{sign}{\left(x \right)}}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(0,x \right)}}{2} \right)} \right)}\right) \sin{\left(\sqrt{\frac{x}{\operatorname{sign}{\left(x \right)}}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(0,x \right)}}{2} \right)} \right)} \sinh{\left(\sqrt{\frac{x}{\operatorname{sign}{\left(x \right)}}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(0,x \right)}}{2} \right)} \right)} - \left(\sin{\left(\sqrt{\frac{x}{\operatorname{sign}{\left(x \right)}}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(0,x \right)}}{2} \right)} \right)} \cos{\left(\frac{\operatorname{atan_{2}}{\left(0,x \right)}}{2} \right)} \cosh{\left(\sqrt{\frac{x}{\operatorname{sign}{\left(x \right)}}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(0,x \right)}}{2} \right)} \right)} - \sin{\left(\frac{\operatorname{atan_{2}}{\left(0,x \right)}}{2} \right)} \cos{\left(\sqrt{\frac{x}{\operatorname{sign}{\left(x \right)}}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(0,x \right)}}{2} \right)} \right)} \sinh{\left(\sqrt{\frac{x}{\operatorname{sign}{\left(x \right)}}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(0,x \right)}}{2} \right)} \right)}\right) \cos{\left(\sqrt{\frac{x}{\operatorname{sign}{\left(x \right)}}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(0,x \right)}}{2} \right)} \right)} \cosh{\left(\sqrt{\frac{x}{\operatorname{sign}{\left(x \right)}}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(0,x \right)}}{2} \right)} \right)}\right) \operatorname{sign}{\left(x \right)} \frac{d}{d x} \operatorname{sign}{\left(\cos{\left(\sqrt{x} \right)} \right)}}{\sqrt{\frac{x}{\operatorname{sign}{\left(x \right)}}} \cos{\left(\sqrt{x} \right)} \left|{\cos{\left(\sqrt{x} \right)}}\right|} - \frac{\left(\left(\sin{\left(\sqrt{\frac{x}{\operatorname{sign}{\left(x \right)}}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(0,x \right)}}{2} \right)} \right)} \sin{\left(\frac{\operatorname{atan_{2}}{\left(0,x \right)}}{2} \right)} \cosh{\left(\sqrt{\frac{x}{\operatorname{sign}{\left(x \right)}}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(0,x \right)}}{2} \right)} \right)} + \cos{\left(\sqrt{\frac{x}{\operatorname{sign}{\left(x \right)}}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(0,x \right)}}{2} \right)} \right)} \cos{\left(\frac{\operatorname{atan_{2}}{\left(0,x \right)}}{2} \right)} \sinh{\left(\sqrt{\frac{x}{\operatorname{sign}{\left(x \right)}}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(0,x \right)}}{2} \right)} \right)}\right) \sin{\left(\sqrt{\frac{x}{\operatorname{sign}{\left(x \right)}}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(0,x \right)}}{2} \right)} \right)} \sinh{\left(\sqrt{\frac{x}{\operatorname{sign}{\left(x \right)}}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(0,x \right)}}{2} \right)} \right)} - \left(\sin{\left(\sqrt{\frac{x}{\operatorname{sign}{\left(x \right)}}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(0,x \right)}}{2} \right)} \right)} \cos{\left(\frac{\operatorname{atan_{2}}{\left(0,x \right)}}{2} \right)} \cosh{\left(\sqrt{\frac{x}{\operatorname{sign}{\left(x \right)}}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(0,x \right)}}{2} \right)} \right)} - \sin{\left(\frac{\operatorname{atan_{2}}{\left(0,x \right)}}{2} \right)} \cos{\left(\sqrt{\frac{x}{\operatorname{sign}{\left(x \right)}}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(0,x \right)}}{2} \right)} \right)} \sinh{\left(\sqrt{\frac{x}{\operatorname{sign}{\left(x \right)}}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(0,x \right)}}{2} \right)} \right)}\right) \cos{\left(\sqrt{\frac{x}{\operatorname{sign}{\left(x \right)}}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(0,x \right)}}{2} \right)} \right)} \cosh{\left(\sqrt{\frac{x}{\operatorname{sign}{\left(x \right)}}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(0,x \right)}}{2} \right)} \right)}\right)^{2} \operatorname{sign}^{3}{\left(x \right)} \operatorname{sign}^{2}{\left(\cos{\left(\sqrt{x} \right)} \right)}}{x \cos^{2}{\left(\sqrt{x} \right)} \left|{\cos{\left(\sqrt{x} \right)}}\right|^{2}} + \frac{\tan^{2}{\left(\sqrt{x} \right)} + 1}{x} + \frac{2 \left(\tan^{2}{\left(\sqrt{x} \right)} + 1\right) \tan{\left(\sqrt{x} \right)}}{\sqrt{x}} + \frac{\left(\left(\sin{\left(\sqrt{\frac{x}{\operatorname{sign}{\left(x \right)}}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(0,x \right)}}{2} \right)} \right)} \sin{\left(\frac{\operatorname{atan_{2}}{\left(0,x \right)}}{2} \right)} \cosh{\left(\sqrt{\frac{x}{\operatorname{sign}{\left(x \right)}}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(0,x \right)}}{2} \right)} \right)} + \cos{\left(\sqrt{\frac{x}{\operatorname{sign}{\left(x \right)}}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(0,x \right)}}{2} \right)} \right)} \cos{\left(\frac{\operatorname{atan_{2}}{\left(0,x \right)}}{2} \right)} \sinh{\left(\sqrt{\frac{x}{\operatorname{sign}{\left(x \right)}}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(0,x \right)}}{2} \right)} \right)}\right) \sin{\left(\sqrt{\frac{x}{\operatorname{sign}{\left(x \right)}}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(0,x \right)}}{2} \right)} \right)} \sinh{\left(\sqrt{\frac{x}{\operatorname{sign}{\left(x \right)}}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(0,x \right)}}{2} \right)} \right)} - \left(\sin{\left(\sqrt{\frac{x}{\operatorname{sign}{\left(x \right)}}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(0,x \right)}}{2} \right)} \right)} \cos{\left(\frac{\operatorname{atan_{2}}{\left(0,x \right)}}{2} \right)} \cosh{\left(\sqrt{\frac{x}{\operatorname{sign}{\left(x \right)}}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(0,x \right)}}{2} \right)} \right)} - \sin{\left(\frac{\operatorname{atan_{2}}{\left(0,x \right)}}{2} \right)} \cos{\left(\sqrt{\frac{x}{\operatorname{sign}{\left(x \right)}}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(0,x \right)}}{2} \right)} \right)} \sinh{\left(\sqrt{\frac{x}{\operatorname{sign}{\left(x \right)}}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(0,x \right)}}{2} \right)} \right)}\right) \cos{\left(\sqrt{\frac{x}{\operatorname{sign}{\left(x \right)}}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(0,x \right)}}{2} \right)} \right)} \cosh{\left(\sqrt{\frac{x}{\operatorname{sign}{\left(x \right)}}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(0,x \right)}}{2} \right)} \right)}\right) \sin{\left(\sqrt{x} \right)} \operatorname{sign}{\left(x \right)} \operatorname{sign}{\left(\cos{\left(\sqrt{x} \right)} \right)}}{\sqrt{x} \sqrt{\frac{x}{\operatorname{sign}{\left(x \right)}}} \cos^{2}{\left(\sqrt{x} \right)} \left|{\cos{\left(\sqrt{x} \right)}}\right|} - \frac{\tan{\left(\sqrt{x} \right)}}{x^{\frac{3}{2}}}}{4}
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Gráfico
Derivada de y=ln(absolute(cos(x^(1/2))))+x^(1/2)*tg(x^(1/2))
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