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  • Derivada de:
  • Derivada de 4*y Derivada de 4*y
  • Derivada de 4-x² Derivada de 4-x²
  • Derivada de 2*x+8/x Derivada de 2*x+8/x
  • Derivada de (14-x)*e^14-x Derivada de (14-x)*e^14-x

  • Expresiones idénticas

  • y=tan^- uno (e^coshx)^ uno / dos
  • y es igual a tangente de en el grado menos 1(e en el grado coseno de eno hiperbólico de x) en el grado 1 dividir por 2
  • y es igual a tangente de en el grado menos uno (e en el grado coseno de eno hiperbólico de x) en el grado uno dividir por dos
  • y=tan-1(ecoshx)1/2
  • y=tan-1ecoshx1/2
  • y=tan^-1e^coshx^1/2
  • y=tan^-1(e^coshx)^1 dividir por 2

  • Expresiones semejantes

  • y=tan^+1(e^coshx)^1/2
Derivada de la función/ y=tan/ coshx/ y=tan^-1(e^coshx)^1/2

Derivada de y=tan^-1(e^coshx)^1/2

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

Gráfico:

interior superior

Definida a trozos:

Solución

Ha introducido [src] 
                 ____
               \/ -1 
/   / cosh(x)\\      
\tan\E       //
tan⁡−1(ecosh⁡(x))\tan^{\sqrt{-1}}{\left(e^{\cosh{\left(x \right)}} \right)} 
tan(E^cosh(x))^(sqrt(-1))
Primera derivada [src] 
                   ____                                      
                 \/ -1                                       
  /   / cosh(x)\\       /       2/ cosh(x)\\  cosh(x)        
I*\tan\E       //      *\1 + tan \E       //*e       *sinh(x)
-------------------------------------------------------------
                           / cosh(x)\                        
                        tan\E       /
i(tan⁡2(ecosh⁡(x))+1)ecosh⁡(x)tan⁡−1(ecosh⁡(x))sinh⁡(x)tan⁡(ecosh⁡(x))\frac{i \left(\tan^{2}{\left(e^{\cosh{\left(x \right)}} \right)} + 1\right) e^{\cosh{\left(x \right)}} \tan^{\sqrt{-1}}{\left(e^{\cosh{\left(x \right)}} \right)} \sinh{\left(x \right)}}{\tan{\left(e^{\cosh{\left(x \right)}} \right)}}
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Segunda derivada [src] 
                                    /        2                                                   2    /       2/ cosh(x)\\  cosh(x)         2    /       2/ cosh(x)\\  cosh(x)\         
   I/ cosh(x)\ /       2/ cosh(x)\\ |  I*sinh (x)      I*cosh(x)             2     cosh(x)   sinh (x)*\1 + tan \E       //*e          I*sinh (x)*\1 + tan \E       //*e       |  cosh(x)
tan \E       /*\1 + tan \E       //*|------------- + ------------- + 2*I*sinh (x)*e        - -------------------------------------- - ----------------------------------------|*e       
                                    |   / cosh(x)\      / cosh(x)\                                          2/ cosh(x)\                               2/ cosh(x)\             |         
                                    \tan\E       /   tan\E       /                                       tan \E       /                            tan \E       /             /
(tan⁡2(ecosh⁡(x))+1)(−(tan⁡2(ecosh⁡(x))+1)ecosh⁡(x)sinh⁡2(x)tan⁡2(ecosh⁡(x))−i(tan⁡2(ecosh⁡(x))+1)ecosh⁡(x)sinh⁡2(x)tan⁡2(ecosh⁡(x))+2iecosh⁡(x)sinh⁡2(x)+isinh⁡2(x)tan⁡(ecosh⁡(x))+icosh⁡(x)tan⁡(ecosh⁡(x)))ecosh⁡(x)tan⁡i(ecosh⁡(x))\left(\tan^{2}{\left(e^{\cosh{\left(x \right)}} \right)} + 1\right) \left(- \frac{\left(\tan^{2}{\left(e^{\cosh{\left(x \right)}} \right)} + 1\right) e^{\cosh{\left(x \right)}} \sinh^{2}{\left(x \right)}}{\tan^{2}{\left(e^{\cosh{\left(x \right)}} \right)}} - \frac{i \left(\tan^{2}{\left(e^{\cosh{\left(x \right)}} \right)} + 1\right) e^{\cosh{\left(x \right)}} \sinh^{2}{\left(x \right)}}{\tan^{2}{\left(e^{\cosh{\left(x \right)}} \right)}} + 2 i e^{\cosh{\left(x \right)}} \sinh^{2}{\left(x \right)} + \frac{i \sinh^{2}{\left(x \right)}}{\tan{\left(e^{\cosh{\left(x \right)}} \right)}} + \frac{i \cosh{\left(x \right)}}{\tan{\left(e^{\cosh{\left(x \right)}} \right)}}\right) e^{\cosh{\left(x \right)}} \tan^{i}{\left(e^{\cosh{\left(x \right)}} \right)}
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Tercera derivada [src] 
                                    /                                                                                                                                                                                                                                                       2                                                                                     2                                                                                                                                                            \                 
                                    |                        2                                                                            2    /       2/ cosh(x)\\  2*cosh(x)         2    /       2/ cosh(x)\\  cosh(x)     /       2/ cosh(x)\\          cosh(x)     /       2/ cosh(x)\\      2     2*cosh(x)                                             /       2/ cosh(x)\\      2     2*cosh(x)           2    /       2/ cosh(x)\\  2*cosh(x)           2    /       2/ cosh(x)\\  cosh(x)       /       2/ cosh(x)\\          cosh(x)|                 
   I/ cosh(x)\ /       2/ cosh(x)\\ |      I           I*sinh (x)     3*I*cosh(x)            2     cosh(x)                cosh(x)   6*sinh (x)*\1 + tan \E       //*e            3*sinh (x)*\1 + tan \E       //*e          3*\1 + tan \E       //*cosh(x)*e          3*\1 + tan \E       // *sinh (x)*e                    2     2*cosh(x)    / cosh(x)\   I*\1 + tan \E       // *sinh (x)*e            4*I*sinh (x)*\1 + tan \E       //*e            3*I*sinh (x)*\1 + tan \E       //*e          3*I*\1 + tan \E       //*cosh(x)*e       |  cosh(x)        
tan \E       /*\1 + tan \E       //*|------------- + ------------- + ------------- + 6*I*sinh (x)*e        + 6*I*cosh(x)*e        - ------------------------------------------ - ---------------------------------------- - --------------------------------------- + ------------------------------------------- + 4*I*sinh (x)*e         *tan\E       / + ------------------------------------------- - -------------------------------------------- - ------------------------------------------ - -----------------------------------------|*e       *sinh(x)
                                    |   / cosh(x)\      / cosh(x)\      / cosh(x)\                                                                   / cosh(x)\                                  2/ cosh(x)\                                2/ cosh(x)\                                 3/ cosh(x)\                                                                           3/ cosh(x)\                                   / cosh(x)\                                    2/ cosh(x)\                                  2/ cosh(x)\             |                 
                                    \tan\E       /   tan\E       /   tan\E       /                                                                tan\E       /                               tan \E       /                             tan \E       /                              tan \E       /                                                                        tan \E       /                                tan\E       /                                 tan \E       /                               tan \E       /             /
(tan⁡2(ecosh⁡(x))+1)(3(tan⁡2(ecosh⁡(x))+1)2e2cosh⁡(x)sinh⁡2(x)tan⁡3(ecosh⁡(x))+i(tan⁡2(ecosh⁡(x))+1)2e2cosh⁡(x)sinh⁡2(x)tan⁡3(ecosh⁡(x))−6(tan⁡2(ecosh⁡(x))+1)e2cosh⁡(x)sinh⁡2(x)tan⁡(ecosh⁡(x))−4i(tan⁡2(ecosh⁡(x))+1)e2cosh⁡(x)sinh⁡2(x)tan⁡(ecosh⁡(x))−3(tan⁡2(ecosh⁡(x))+1)ecosh⁡(x)sinh⁡2(x)tan⁡2(ecosh⁡(x))−3i(tan⁡2(ecosh⁡(x))+1)ecosh⁡(x)sinh⁡2(x)tan⁡2(ecosh⁡(x))−3(tan⁡2(ecosh⁡(x))+1)ecosh⁡(x)cosh⁡(x)tan⁡2(ecosh⁡(x))−3i(tan⁡2(ecosh⁡(x))+1)ecosh⁡(x)cosh⁡(x)tan⁡2(ecosh⁡(x))+4ie2cosh⁡(x)tan⁡(ecosh⁡(x))sinh⁡2(x)+6iecosh⁡(x)sinh⁡2(x)+6iecosh⁡(x)cosh⁡(x)+isinh⁡2(x)tan⁡(ecosh⁡(x))+3icosh⁡(x)tan⁡(ecosh⁡(x))+itan⁡(ecosh⁡(x)))ecosh⁡(x)tan⁡i(ecosh⁡(x))sinh⁡(x)\left(\tan^{2}{\left(e^{\cosh{\left(x \right)}} \right)} + 1\right) \left(\frac{3 \left(\tan^{2}{\left(e^{\cosh{\left(x \right)}} \right)} + 1\right)^{2} e^{2 \cosh{\left(x \right)}} \sinh^{2}{\left(x \right)}}{\tan^{3}{\left(e^{\cosh{\left(x \right)}} \right)}} + \frac{i \left(\tan^{2}{\left(e^{\cosh{\left(x \right)}} \right)} + 1\right)^{2} e^{2 \cosh{\left(x \right)}} \sinh^{2}{\left(x \right)}}{\tan^{3}{\left(e^{\cosh{\left(x \right)}} \right)}} - \frac{6 \left(\tan^{2}{\left(e^{\cosh{\left(x \right)}} \right)} + 1\right) e^{2 \cosh{\left(x \right)}} \sinh^{2}{\left(x \right)}}{\tan{\left(e^{\cosh{\left(x \right)}} \right)}} - \frac{4 i \left(\tan^{2}{\left(e^{\cosh{\left(x \right)}} \right)} + 1\right) e^{2 \cosh{\left(x \right)}} \sinh^{2}{\left(x \right)}}{\tan{\left(e^{\cosh{\left(x \right)}} \right)}} - \frac{3 \left(\tan^{2}{\left(e^{\cosh{\left(x \right)}} \right)} + 1\right) e^{\cosh{\left(x \right)}} \sinh^{2}{\left(x \right)}}{\tan^{2}{\left(e^{\cosh{\left(x \right)}} \right)}} - \frac{3 i \left(\tan^{2}{\left(e^{\cosh{\left(x \right)}} \right)} + 1\right) e^{\cosh{\left(x \right)}} \sinh^{2}{\left(x \right)}}{\tan^{2}{\left(e^{\cosh{\left(x \right)}} \right)}} - \frac{3 \left(\tan^{2}{\left(e^{\cosh{\left(x \right)}} \right)} + 1\right) e^{\cosh{\left(x \right)}} \cosh{\left(x \right)}}{\tan^{2}{\left(e^{\cosh{\left(x \right)}} \right)}} - \frac{3 i \left(\tan^{2}{\left(e^{\cosh{\left(x \right)}} \right)} + 1\right) e^{\cosh{\left(x \right)}} \cosh{\left(x \right)}}{\tan^{2}{\left(e^{\cosh{\left(x \right)}} \right)}} + 4 i e^{2 \cosh{\left(x \right)}} \tan{\left(e^{\cosh{\left(x \right)}} \right)} \sinh^{2}{\left(x \right)} + 6 i e^{\cosh{\left(x \right)}} \sinh^{2}{\left(x \right)} + 6 i e^{\cosh{\left(x \right)}} \cosh{\left(x \right)} + \frac{i \sinh^{2}{\left(x \right)}}{\tan{\left(e^{\cosh{\left(x \right)}} \right)}} + \frac{3 i \cosh{\left(x \right)}}{\tan{\left(e^{\cosh{\left(x \right)}} \right)}} + \frac{i}{\tan{\left(e^{\cosh{\left(x \right)}} \right)}}\right) e^{\cosh{\left(x \right)}} \tan^{i}{\left(e^{\cosh{\left(x \right)}} \right)} \sinh{\left(x \right)}
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