Sr Examen

Lang:

Otras calculadoras

¿Cómo usar?
Derivada de:
Derivada de e^x*sin(x)
Derivada de 5^10
Derivada de 2*cos(3*x)
Derivada de x^(7/6)
Expresiones idénticas
y=(x^ dos)^tg(x)
y es igual a (x al cuadrado ) en el grado tg(x)
y es igual a (x en el grado dos) en el grado tg(x)
y=(x2)tg(x)
y=x2tgx
y=(x²)^tg(x)
y=(x en el grado 2) en el grado tg(x)
y=x^2^tgx

Derivada de la función/ tg(x)/ (x^2)/ y=(x^2)^tg(x)

Derivada de y=(x^2)^tg(x)

Solución

Ha introducido [src]

    tan(x)
/ 2\      
\x /

\left(x^{2}\right)^{\tan{\left(x \right)}}

(x^2)^tan(x)

Solución detallada

No logro encontrar los pasos en la búsqueda de esta derivada.

Perola derivada

$\left(\log{\left(\tan{\left(x \right)} \right)} + 1\right) \tan^{\tan{\left(x \right)}}{\left(x \right)}$

Respuesta:

$\left(\log{\left(\tan{\left(x \right)} \right)} + 1\right) \tan^{\tan{\left(x \right)}}{\left(x \right)}$

Primera derivada [src]

   2*tan(x) //       2   \    / 2\   2*tan(x)\
|x|        *|\1 + tan (x)/*log\x / + --------|
            \                           x    /

\left(\left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(x^{2} \right)} + \frac{2 \tan{\left(x \right)}}{x}\right) \left|{x}\right|^{2 \tan{\left(x \right)}}

Simplificar

Segunda derivada [src]

              /                                                                                          /       2   \                               \
     2*tan(x) |//       2   \    / 2\   2*tan(x)\ //       2   \            sign(x)*tan(x)\   tan(x)   2*\1 + tan (x)/   /       2   \    / 2\       |
2*|x|        *||\1 + tan (x)/*log\x / + --------|*|\1 + tan (x)/*log(|x|) + --------------| - ------ + --------------- + \1 + tan (x)/*log\x /*tan(x)|
              |\                           x    / \                              |x|      /      2            x                                      |
              \                                                                                 x                                                    /

2 \left(\left(\left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(x^{2} \right)} + \frac{2 \tan{\left(x \right)}}{x}\right) \left(\left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(\left|{x}\right| \right)} + \frac{\tan{\left(x \right)} \operatorname{sign}{\left(x \right)}}{\left|{x}\right|}\right) + \left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(x^{2} \right)} \tan{\left(x \right)} + \frac{2 \left(\tan^{2}{\left(x \right)} + 1\right)}{x} - \frac{\tan{\left(x \right)}}{x^{2}}\right) \left|{x}\right|^{2 \tan{\left(x \right)}}

Simplificar

Tercera derivada [src]

              /             2                                              /      2               /       2   \                                                                   \     /       2   \                                                         2                                                                                  /             /       2   \                               \                                       /       2   \       \
     2*tan(x) |/       2   \     / 2\   //       2   \    / 2\   2*tan(x)\ |  sign (x)*tan(x)   2*\1 + tan (x)/*sign(x)   2*DiracDelta(x)*tan(x)     /       2   \                |   3*\1 + tan (x)/   2*tan(x)     //       2   \            sign(x)*tan(x)\  //       2   \    / 2\   2*tan(x)\     //       2   \            sign(x)*tan(x)\ |  tan(x)   2*\1 + tan (x)/   /       2   \    / 2\       |        2    /       2   \    / 2\   6*\1 + tan (x)/*tan(x)|
2*|x|        *|\1 + tan (x)/ *log\x / + |\1 + tan (x)/*log\x / + --------|*|- --------------- + ----------------------- + ---------------------- + 2*\1 + tan (x)/*log(|x|)*tan(x)| - --------------- + -------- + 2*|\1 + tan (x)/*log(|x|) + --------------| *|\1 + tan (x)/*log\x / + --------| + 4*|\1 + tan (x)/*log(|x|) + --------------|*|- ------ + --------------- + \1 + tan (x)/*log\x /*tan(x)| + 2*tan (x)*\1 + tan (x)/*log\x / + ----------------------|
              |                         \                           x    / |          2                   |x|                      |x|                                            |           2             3        \                              |x|      /  \                           x    /     \                              |x|      / |     2            x                                      |                                               x           |
              \                                                            \         x                                                                                            /          x             x                                                                                                                                     \    x                                                    /                                                           /

2 \left(2 \left(\left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(x^{2} \right)} + \frac{2 \tan{\left(x \right)}}{x}\right) \left(\left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(\left|{x}\right| \right)} + \frac{\tan{\left(x \right)} \operatorname{sign}{\left(x \right)}}{\left|{x}\right|}\right)^{2} + \left(\left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(x^{2} \right)} + \frac{2 \tan{\left(x \right)}}{x}\right) \left(2 \left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(\left|{x}\right| \right)} \tan{\left(x \right)} + \frac{2 \left(\tan^{2}{\left(x \right)} + 1\right) \operatorname{sign}{\left(x \right)}}{\left|{x}\right|} + \frac{2 \tan{\left(x \right)} \delta\left(x\right)}{\left|{x}\right|} - \frac{\tan{\left(x \right)} \operatorname{sign}^{2}{\left(x \right)}}{x^{2}}\right) + 4 \left(\left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(\left|{x}\right| \right)} + \frac{\tan{\left(x \right)} \operatorname{sign}{\left(x \right)}}{\left|{x}\right|}\right) \left(\left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(x^{2} \right)} \tan{\left(x \right)} + \frac{2 \left(\tan^{2}{\left(x \right)} + 1\right)}{x} - \frac{\tan{\left(x \right)}}{x^{2}}\right) + \left(\tan^{2}{\left(x \right)} + 1\right)^{2} \log{\left(x^{2} \right)} + 2 \left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(x^{2} \right)} \tan^{2}{\left(x \right)} + \frac{6 \left(\tan^{2}{\left(x \right)} + 1\right) \tan{\left(x \right)}}{x} - \frac{3 \left(\tan^{2}{\left(x \right)} + 1\right)}{x^{2}} + \frac{2 \tan{\left(x \right)}}{x^{3}}\right) \left|{x}\right|^{2 \tan{\left(x \right)}}

Simplificar

Otras calculadoras

¿Cómo usar?

Expresiones idénticas

Derivada de y=(x^2)^tg(x)

Gráfico:

Definida a trozos:

Solución