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  • Derivada de x^-7 Derivada de x^-7
  • Derivada de 5*tan(x)^3+sin(4*x)*e^((-x)/7) Derivada de 5*tan(x)^3+sin(4*x)*e^((-x)/7)
  • Derivada de (x+7)^5 Derivada de (x+7)^5
  • Derivada de 1/x^9 Derivada de 1/x^9

  • Expresiones idénticas

  • y= dos ^(tg((x^ dos + cuatro)/x^ cero . cinco))^ siete
  • y es igual a 2 en el grado (tg((x al cuadrado más 4) dividir por x en el grado 0.5)) en el grado 7
  • y es igual a dos en el grado (tg((x en el grado dos más cuatro) dividir por x en el grado cero . cinco)) en el grado siete
  • y=2(tg((x2+4)/x0.5))7
  • y=2tgx2+4/x0.57
  • y=2^(tg((x²+4)/x^0.5))⁷
  • y=2 en el grado (tg((x en el grado 2+4)/x en el grado 0.5)) en el grado 7
  • y=2^tgx^2+4/x^0.5^7
  • y=2^(tg((x^2+4) dividir por x^0.5))^7

  • Expresiones semejantes

  • y=2^(tg((x^2-4)/x^0.5))^7
Derivada de la función/ x^2+4/ x^0.5/ y=2^(tg((x^2+4)/x^0.5))^7

Derivada de y=2^(tg((x^2+4)/x^0.5))^7

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

Gráfico:

interior superior

Definida a trozos:

Solución

Ha introducido [src] 
     / 2    \
    7|x  + 4|
 tan |------|
     |  ___ |
     \\/ x  /
2
2tan⁡7(x2+4x)2^{\tan^{7}{\left(\frac{x^{2} + 4}{\sqrt{x}} \right)}} 
2^(tan((x^2 + 4)/sqrt(x))^7)
Primera derivada [src] 
       / 2    \                                                        
      7|x  + 4|                                                        
   tan |------|                                                        
       |  ___ |     / 2    \ /        / 2    \\ /         2    \       
       \\/ x  /    6|x  + 4| |       2|x  + 4|| | 2*x    x  + 4|       
7*2            *tan |------|*|1 + tan |------||*|----- - ------|*log(2)
                    |  ___ | |        |  ___ || |  ___      3/2|       
                    \\/ x  / \        \\/ x  // \\/ x    2*x   /
7⋅2tan⁡7(x2+4x)(2xx−x2+42x32)(tan⁡2(x2+4x)+1)log⁡(2)tan⁡6(x2+4x)7 \cdot 2^{\tan^{7}{\left(\frac{x^{2} + 4}{\sqrt{x}} \right)}} \left(\frac{2 x}{\sqrt{x}} - \frac{x^{2} + 4}{2 x^{\frac{3}{2}}}\right) \left(\tan^{2}{\left(\frac{x^{2} + 4}{\sqrt{x}} \right)} + 1\right) \log{\left(2 \right)} \tan^{6}{\left(\frac{x^{2} + 4}{\sqrt{x}} \right)}
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Segunda derivada [src] 
       /     2\                                 /                                                                                              /     2\                                                               \       
      7|4 + x |                                 |                                                                                  /     2\    |4 + x |                                                               |       
   tan |------|                                 |                    2                                    2                      3*\4 + x /*tan|------|                       2                                       |       
       |  ___ |     /     2\ /        /     2\\ |  /               2\      /     2\     /               2\  /        /     2\\                 |  ___ |     /               2\      /     2\ /        /     2\\       |       
       \\/ x  /    5|4 + x | |       2|4 + x || |  |    ___   4 + x |     2|4 + x |     |    ___   4 + x |  |       2|4 + x ||                 \\/ x  /     |    ___   4 + x |     7|4 + x | |       2|4 + x ||       |       
7*2            *tan |------|*|1 + tan |------||*|2*|4*\/ x  - ------| *tan |------| + 6*|4*\/ x  - ------| *|1 + tan |------|| + ---------------------- + 7*|4*\/ x  - ------| *tan |------|*|1 + tan |------||*log(2)|*log(2)
                    |  ___ | |        |  ___ || |  |            3/2 |      |  ___ |     |            3/2 |  |        |  ___ ||             5/2              |            3/2 |      |  ___ | |        |  ___ ||       |       
                    \\/ x  / \        \\/ x  // \  \           x    /      \\/ x  /     \           x    /  \        \\/ x  //            x                 \           x    /      \\/ x  / \        \\/ x  //       /       
------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
                                                                                                              4
7⋅2tan⁡7(x2+4x)(tan⁡2(x2+4x)+1)(7(4x−x2+4x32)2(tan⁡2(x2+4x)+1)log⁡(2)tan⁡7(x2+4x)+6(4x−x2+4x32)2(tan⁡2(x2+4x)+1)+2(4x−x2+4x32)2tan⁡2(x2+4x)+3(x2+4)tan⁡(x2+4x)x52)log⁡(2)tan⁡5(x2+4x)4\frac{7 \cdot 2^{\tan^{7}{\left(\frac{x^{2} + 4}{\sqrt{x}} \right)}} \left(\tan^{2}{\left(\frac{x^{2} + 4}{\sqrt{x}} \right)} + 1\right) \left(7 \left(4 \sqrt{x} - \frac{x^{2} + 4}{x^{\frac{3}{2}}}\right)^{2} \left(\tan^{2}{\left(\frac{x^{2} + 4}{\sqrt{x}} \right)} + 1\right) \log{\left(2 \right)} \tan^{7}{\left(\frac{x^{2} + 4}{\sqrt{x}} \right)} + 6 \left(4 \sqrt{x} - \frac{x^{2} + 4}{x^{\frac{3}{2}}}\right)^{2} \left(\tan^{2}{\left(\frac{x^{2} + 4}{\sqrt{x}} \right)} + 1\right) + 2 \left(4 \sqrt{x} - \frac{x^{2} + 4}{x^{\frac{3}{2}}}\right)^{2} \tan^{2}{\left(\frac{x^{2} + 4}{\sqrt{x}} \right)} + \frac{3 \left(x^{2} + 4\right) \tan{\left(\frac{x^{2} + 4}{\sqrt{x}} \right)}}{x^{\frac{5}{2}}}\right) \log{\left(2 \right)} \tan^{5}{\left(\frac{x^{2} + 4}{\sqrt{x}} \right)}}{4}
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Tercera derivada [src] 
       /     2\                                 /                                            /     2\                                                       /     2\                                                                            /     2\          /               2\                                                                                                                                                                                                           /        /     2\\          /               2\    /     2\          /     2\ /        /     2\\          /               2\       \       
      7|4 + x |                                 |                                           2|4 + x |                                                      2|4 + x | /     2\                                                                  3|4 + x | /     2\ |    ___   4 + x |                                                                                                                                                                                                           |       2|4 + x || /     2\ |    ___   4 + x |    |4 + x |         8|4 + x | |       2|4 + x || /     2\ |    ___   4 + x |       |       
   tan |------|                                 |                    3                12*tan |------|                        2                   3   15*tan |------|*\4 + x /                        3                                   18*tan |------|*\4 + x /*|4*\/ x  - ------|                        3                                                               2                   3                                               2                   3                       54*|1 + tan |------||*\4 + x /*|4*\/ x  - ------|*tan|------|   63*tan |------|*|1 + tan |------||*\4 + x /*|4*\/ x  - ------|*log(2)|       
       |  ___ |     /     2\ /        /     2\\ |  /               2\      /     2\          |  ___ |      /        /     2\\  /               2\           |  ___ |               /               2\      /     2\ /        /     2\\          |  ___ |          |            3/2 |      /               2\      /     2\ /        /     2\\             /        /     2\\  /               2\               /     2\       /        /     2\\  /               2\      /     2\             |        |  ___ ||          |            3/2 |    |  ___ |          |  ___ | |        |  ___ ||          |            3/2 |       |       
       \\/ x  /    4|4 + x | |       2|4 + x || |  |    ___   4 + x |     4|4 + x |          \\/ x  /      |       2|4 + x ||  |    ___   4 + x |           \\/ x  /               |    ___   4 + x |     2|4 + x | |       2|4 + x ||          \\/ x  /          \           x    /      |    ___   4 + x |     9|4 + x | |       2|4 + x ||             |       2|4 + x ||  |    ___   4 + x |     2       14|4 + x |       |       2|4 + x ||  |    ___   4 + x |     7|4 + x |             \        \\/ x  //          \           x    /    \\/ x  /          \\/ x  / \        \\/ x  //          \           x    /       |       
7*2            *tan |------|*|1 + tan |------||*|4*|4*\/ x  - ------| *tan |------| + --------------- + 30*|1 + tan |------|| *|4*\/ x  - ------|  - ------------------------ + 38*|4*\/ x  - ------| *tan |------|*|1 + tan |------|| + ------------------------------------------- + 42*|4*\/ x  - ------| *tan |------|*|1 + tan |------||*log(2) + 49*|1 + tan |------|| *|4*\/ x  - ------| *log (2)*tan  |------| + 126*|1 + tan |------|| *|4*\/ x  - ------| *tan |------|*log(2) + ------------------------------------------------------------- + ---------------------------------------------------------------------|*log(2)
                    |  ___ | |        |  ___ || |  |            3/2 |      |  ___ |          3/2           |        |  ___ ||  |            3/2 |               7/2                |            3/2 |      |  ___ | |        |  ___ ||                        5/2                         |            3/2 |      |  ___ | |        |  ___ ||             |        |  ___ ||  |            3/2 |               |  ___ |       |        |  ___ ||  |            3/2 |      |  ___ |                                        5/2                                                                 5/2                                |       
                    \\/ x  / \        \\/ x  // \  \           x    /      \\/ x  /         x              \        \\/ x  //  \           x    /              x                   \           x    /      \\/ x  / \        \\/ x  //                       x                            \           x    /      \\/ x  / \        \\/ x  //             \        \\/ x  //  \           x    /               \\/ x  /       \        \\/ x  //  \           x    /      \\/ x  /                                       x                                                                   x                                   /       
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7⋅2tan⁡7(x2+4x)(tan⁡2(x2+4x)+1)(49(4x−x2+4x32)3(tan⁡2(x2+4x)+1)2log⁡(2)2tan⁡14(x2+4x)+126(4x−x2+4x32)3(tan⁡2(x2+4x)+1)2log⁡(2)tan⁡7(x2+4x)+30(4x−x2+4x32)3(tan⁡2(x2+4x)+1)2+42(4x−x2+4x32)3(tan⁡2(x2+4x)+1)log⁡(2)tan⁡9(x2+4x)+38(4x−x2+4x32)3(tan⁡2(x2+4x)+1)tan⁡2(x2+4x)+4(4x−x2+4x32)3tan⁡4(x2+4x)+12tan⁡2(x2+4x)x32+63(4x−x2+4x32)(x2+4)(tan⁡2(x2+4x)+1)log⁡(2)tan⁡8(x2+4x)x52+54(4x−x2+4x32)(x2+4)(tan⁡2(x2+4x)+1)tan⁡(x2+4x)x52+18(4x−x2+4x32)(x2+4)tan⁡3(x2+4x)x52−15(x2+4)tan⁡2(x2+4x)x72)log⁡(2)tan⁡4(x2+4x)8\frac{7 \cdot 2^{\tan^{7}{\left(\frac{x^{2} + 4}{\sqrt{x}} \right)}} \left(\tan^{2}{\left(\frac{x^{2} + 4}{\sqrt{x}} \right)} + 1\right) \left(49 \left(4 \sqrt{x} - \frac{x^{2} + 4}{x^{\frac{3}{2}}}\right)^{3} \left(\tan^{2}{\left(\frac{x^{2} + 4}{\sqrt{x}} \right)} + 1\right)^{2} \log{\left(2 \right)}^{2} \tan^{14}{\left(\frac{x^{2} + 4}{\sqrt{x}} \right)} + 126 \left(4 \sqrt{x} - \frac{x^{2} + 4}{x^{\frac{3}{2}}}\right)^{3} \left(\tan^{2}{\left(\frac{x^{2} + 4}{\sqrt{x}} \right)} + 1\right)^{2} \log{\left(2 \right)} \tan^{7}{\left(\frac{x^{2} + 4}{\sqrt{x}} \right)} + 30 \left(4 \sqrt{x} - \frac{x^{2} + 4}{x^{\frac{3}{2}}}\right)^{3} \left(\tan^{2}{\left(\frac{x^{2} + 4}{\sqrt{x}} \right)} + 1\right)^{2} + 42 \left(4 \sqrt{x} - \frac{x^{2} + 4}{x^{\frac{3}{2}}}\right)^{3} \left(\tan^{2}{\left(\frac{x^{2} + 4}{\sqrt{x}} \right)} + 1\right) \log{\left(2 \right)} \tan^{9}{\left(\frac{x^{2} + 4}{\sqrt{x}} \right)} + 38 \left(4 \sqrt{x} - \frac{x^{2} + 4}{x^{\frac{3}{2}}}\right)^{3} \left(\tan^{2}{\left(\frac{x^{2} + 4}{\sqrt{x}} \right)} + 1\right) \tan^{2}{\left(\frac{x^{2} + 4}{\sqrt{x}} \right)} + 4 \left(4 \sqrt{x} - \frac{x^{2} + 4}{x^{\frac{3}{2}}}\right)^{3} \tan^{4}{\left(\frac{x^{2} + 4}{\sqrt{x}} \right)} + \frac{12 \tan^{2}{\left(\frac{x^{2} + 4}{\sqrt{x}} \right)}}{x^{\frac{3}{2}}} + \frac{63 \left(4 \sqrt{x} - \frac{x^{2} + 4}{x^{\frac{3}{2}}}\right) \left(x^{2} + 4\right) \left(\tan^{2}{\left(\frac{x^{2} + 4}{\sqrt{x}} \right)} + 1\right) \log{\left(2 \right)} \tan^{8}{\left(\frac{x^{2} + 4}{\sqrt{x}} \right)}}{x^{\frac{5}{2}}} + \frac{54 \left(4 \sqrt{x} - \frac{x^{2} + 4}{x^{\frac{3}{2}}}\right) \left(x^{2} + 4\right) \left(\tan^{2}{\left(\frac{x^{2} + 4}{\sqrt{x}} \right)} + 1\right) \tan{\left(\frac{x^{2} + 4}{\sqrt{x}} \right)}}{x^{\frac{5}{2}}} + \frac{18 \left(4 \sqrt{x} - \frac{x^{2} + 4}{x^{\frac{3}{2}}}\right) \left(x^{2} + 4\right) \tan^{3}{\left(\frac{x^{2} + 4}{\sqrt{x}} \right)}}{x^{\frac{5}{2}}} - \frac{15 \left(x^{2} + 4\right) \tan^{2}{\left(\frac{x^{2} + 4}{\sqrt{x}} \right)}}{x^{\frac{7}{2}}}\right) \log{\left(2 \right)} \tan^{4}{\left(\frac{x^{2} + 4}{\sqrt{x}} \right)}}{8}
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