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Derivada de:
Derivada de 6
Derivada de x^3*sin(x)
Derivada de (sqrt(x)-1)/sqrt(x^2-x-1)
Derivada de x^-4
Expresiones idénticas
(x*tgx)^(exp^x^ dos)
(x multiplicar por tgx) en el grado ( exponente de en el grado x al cuadrado )
(x multiplicar por tgx) en el grado ( exponente de en el grado x en el grado dos)
(x*tgx)(expx2)
x*tgxexpx2
(x*tgx)^(exp^x²)
(x*tgx) en el grado (exp en el grado x en el grado 2)
(xtgx)^(exp^x^2)
(xtgx)(expx2)
xtgxexpx2
xtgx^exp^x^2
Expresiones con funciones
tgx
tgx/x
tgx/(sinx-cosx)
tgx-9x
tgx-ctgx
Exponente exp
exp(1/x)
exp(x^1/2)
exp(3*x)
exp(8*x)
exp(y)

Derivada de la función/ x*tgx/ exp^x/ (x*tgx)^(exp^x^2)

Derivada de (x*tgx)^(exp^x^2)

Solución

Ha introducido [src]

          / / 2\\
          | \x /|
          \E    /
(x*tan(x))

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

(x*tan(x))^(E^(x^2))

Solución detallada

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

Perola derivada

$\left(\log{\left(e^{x^{2}} \right)} + 1\right) e^{x^{2} e^{x^{2}}}$
Simplificamos:

$\left(x^{2} + 1\right) e^{x^{2} e^{x^{2}}}$

Respuesta:

$\left(x^{2} + 1\right) e^{x^{2} e^{x^{2}}}$

Primera derivada [src]

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

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

Simplificar

Segunda derivada [src]

          / / 2\\ /                                                                2                                                                                                                                                                           \      
          | \x /| |                  /                      /       2   \         \   / 2\                          /  /       2   \         \     /       2   \              /       2        /       2   \       \   /       2   \ /  /       2   \         \|  / 2\
          \e    / |                  |                    x*\1 + tan (x)/ + tan(x)|   \x /      2                 4*\x*\1 + tan (x)/ + tan(x)/   x*\1 + tan (x)/ + tan(x)   2*\1 + tan (x) + x*\1 + tan (x)/*tan(x)/   \1 + tan (x)/*\x*\1 + tan (x)/ + tan(x)/|  \x /
(x*tan(x))       *|2*log(x*tan(x)) + |2*x*log(x*tan(x)) + ------------------------| *e     + 4*x *log(x*tan(x)) + ---------------------------- - ------------------------ + ---------------------------------------- - ----------------------------------------|*e    
                  |                  \                            x*tan(x)        /                                          tan(x)                      2                                  x*tan(x)                                       2                   |      
                  \                                                                                                                                     x *tan(x)                                                                     x*tan (x)                /

\left(x \tan{\left(x \right)}\right)^{e^{x^{2}}} \left(4 x^{2} \log{\left(x \tan{\left(x \right)} \right)} + \frac{4 \left(x \left(\tan^{2}{\left(x \right)} + 1\right) + \tan{\left(x \right)}\right)}{\tan{\left(x \right)}} + \left(2 x \log{\left(x \tan{\left(x \right)} \right)} + \frac{x \left(\tan^{2}{\left(x \right)} + 1\right) + \tan{\left(x \right)}}{x \tan{\left(x \right)}}\right)^{2} e^{x^{2}} + 2 \log{\left(x \tan{\left(x \right)} \right)} - \frac{\left(x \left(\tan^{2}{\left(x \right)} + 1\right) + \tan{\left(x \right)}\right) \left(\tan^{2}{\left(x \right)} + 1\right)}{x \tan^{2}{\left(x \right)}} + \frac{2 \left(x \left(\tan^{2}{\left(x \right)} + 1\right) \tan{\left(x \right)} + \tan^{2}{\left(x \right)} + 1\right)}{x \tan{\left(x \right)}} - \frac{x \left(\tan^{2}{\left(x \right)} + 1\right) + \tan{\left(x \right)}}{x^{2} \tan{\left(x \right)}}\right) e^{x^{2}}

Simplificar

Tercera derivada [src]

          / / 2\\ /                                              3                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             2                                                                                                                                     \      
          | \x /| |/                      /       2   \         \      2                                                /       2        /       2   \       \     /       2   \ /  /       2   \         \     /       2        /       2   \       \     /  /       2   \         \     /                      /       2   \         \ /                                         /  /       2   \         \     /       2   \              /       2        /       2   \       \   /       2   \ /  /       2   \         \\  / 2\        /  /       2   \         \     /       2   \ /       2        /       2   \       \     /       2   \ /  /       2   \         \     /       2   \  /  /       2   \         \     /       2   \ /             /       2   \          2   \     /       2   \ /  /       2   \         \|  / 2\
          \e    / ||                    x*\1 + tan (x)/ + tan(x)|   2*x       3                                      12*\1 + tan (x) + x*\1 + tan (x)/*tan(x)/   6*\1 + tan (x)/*\x*\1 + tan (x)/ + tan(x)/   4*\1 + tan (x) + x*\1 + tan (x)/*tan(x)/   2*\x*\1 + tan (x)/ + tan(x)/     |                    x*\1 + tan (x)/ + tan(x)| |                     2                 4*\x*\1 + tan (x)/ + tan(x)/   x*\1 + tan (x)/ + tan(x)   2*\1 + tan (x) + x*\1 + tan (x)/*tan(x)/   \1 + tan (x)/*\x*\1 + tan (x)/ + tan(x)/|  \x /   12*x*\x*\1 + tan (x)/ + tan(x)/   4*\1 + tan (x)/*\1 + tan (x) + x*\1 + tan (x)/*tan(x)/   2*\1 + tan (x)/*\x*\1 + tan (x)/ + tan(x)/   2*\1 + tan (x)/ *\x*\1 + tan (x)/ + tan(x)/   2*\1 + tan (x)/*\3*tan(x) + x*\1 + tan (x)/ + 2*x*tan (x)/   2*\1 + tan (x)/*\x*\1 + tan (x)/ + tan(x)/|  \x /
(x*tan(x))       *||2*x*log(x*tan(x)) + ------------------------| *e     + 8*x *log(x*tan(x)) + 12*x*log(x*tan(x)) + ----------------------------------------- - ------------------------------------------ - ---------------------------------------- + ---------------------------- + 3*|2*x*log(x*tan(x)) + ------------------------|*|2*log(x*tan(x)) + 4*x *log(x*tan(x)) + ---------------------------- - ------------------------ + ---------------------------------------- - ----------------------------------------|*e     + ------------------------------- - ------------------------------------------------------ - ------------------------------------------ + ------------------------------------------- + ---------------------------------------------------------- + ------------------------------------------|*e    
                  |\                            x*tan(x)        /                                                                      tan(x)                                        2                                        2                                    3                      \                            x*tan(x)        / |                                                  tan(x)                      2                                  x*tan(x)                                       2                   |                      tan(x)                                          2                                              x*tan(x)                                          3                                                x*tan(x)                                             2    2                   |      
                  \                                                                                                                                                               tan (x)                                    x *tan(x)                            x *tan(x)                                                              \                                                                             x *tan(x)                                                                     x*tan (x)                /                                                                 x*tan (x)                                                                                        x*tan (x)                                                                                                 x *tan (x)                /

\left(x \tan{\left(x \right)}\right)^{e^{x^{2}}} \left(8 x^{3} \log{\left(x \tan{\left(x \right)} \right)} + \frac{12 x \left(x \left(\tan^{2}{\left(x \right)} + 1\right) + \tan{\left(x \right)}\right)}{\tan{\left(x \right)}} + 12 x \log{\left(x \tan{\left(x \right)} \right)} - \frac{6 \left(x \left(\tan^{2}{\left(x \right)} + 1\right) + \tan{\left(x \right)}\right) \left(\tan^{2}{\left(x \right)} + 1\right)}{\tan^{2}{\left(x \right)}} + \left(2 x \log{\left(x \tan{\left(x \right)} \right)} + \frac{x \left(\tan^{2}{\left(x \right)} + 1\right) + \tan{\left(x \right)}}{x \tan{\left(x \right)}}\right)^{3} e^{2 x^{2}} + 3 \left(2 x \log{\left(x \tan{\left(x \right)} \right)} + \frac{x \left(\tan^{2}{\left(x \right)} + 1\right) + \tan{\left(x \right)}}{x \tan{\left(x \right)}}\right) \left(4 x^{2} \log{\left(x \tan{\left(x \right)} \right)} + \frac{4 \left(x \left(\tan^{2}{\left(x \right)} + 1\right) + \tan{\left(x \right)}\right)}{\tan{\left(x \right)}} + 2 \log{\left(x \tan{\left(x \right)} \right)} - \frac{\left(x \left(\tan^{2}{\left(x \right)} + 1\right) + \tan{\left(x \right)}\right) \left(\tan^{2}{\left(x \right)} + 1\right)}{x \tan^{2}{\left(x \right)}} + \frac{2 \left(x \left(\tan^{2}{\left(x \right)} + 1\right) \tan{\left(x \right)} + \tan^{2}{\left(x \right)} + 1\right)}{x \tan{\left(x \right)}} - \frac{x \left(\tan^{2}{\left(x \right)} + 1\right) + \tan{\left(x \right)}}{x^{2} \tan{\left(x \right)}}\right) e^{x^{2}} + \frac{12 \left(x \left(\tan^{2}{\left(x \right)} + 1\right) \tan{\left(x \right)} + \tan^{2}{\left(x \right)} + 1\right)}{\tan{\left(x \right)}} + \frac{2 \left(x \left(\tan^{2}{\left(x \right)} + 1\right) + \tan{\left(x \right)}\right) \left(\tan^{2}{\left(x \right)} + 1\right)^{2}}{x \tan^{3}{\left(x \right)}} - \frac{2 \left(x \left(\tan^{2}{\left(x \right)} + 1\right) + \tan{\left(x \right)}\right) \left(\tan^{2}{\left(x \right)} + 1\right)}{x \tan{\left(x \right)}} + \frac{2 \left(\tan^{2}{\left(x \right)} + 1\right) \left(x \left(\tan^{2}{\left(x \right)} + 1\right) + 2 x \tan^{2}{\left(x \right)} + 3 \tan{\left(x \right)}\right)}{x \tan{\left(x \right)}} - \frac{4 \left(\tan^{2}{\left(x \right)} + 1\right) \left(x \left(\tan^{2}{\left(x \right)} + 1\right) \tan{\left(x \right)} + \tan^{2}{\left(x \right)} + 1\right)}{x \tan^{2}{\left(x \right)}} + \frac{2 \left(x \left(\tan^{2}{\left(x \right)} + 1\right) + \tan{\left(x \right)}\right) \left(\tan^{2}{\left(x \right)} + 1\right)}{x^{2} \tan^{2}{\left(x \right)}} - \frac{4 \left(x \left(\tan^{2}{\left(x \right)} + 1\right) \tan{\left(x \right)} + \tan^{2}{\left(x \right)} + 1\right)}{x^{2} \tan{\left(x \right)}} + \frac{2 \left(x \left(\tan^{2}{\left(x \right)} + 1\right) + \tan{\left(x \right)}\right)}{x^{3} \tan{\left(x \right)}}\right) e^{x^{2}}

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Expresiones idénticas

Expresiones con funciones

Derivada de (x*tgx)^(exp^x^2)

Gráfico:

Definida a trozos:

Solución