Derivada de y=x^arctg7c

Ha introducido [src]

 atan(7*c)
x

$$x^{\operatorname{atan}{\left(7 c \right)}}$$

x^atan(7*c)

Solución detallada

Según el principio, aplicamos: $x^{\operatorname{atan}{\left(7 c \right)}}$ tenemos $\frac{x^{\operatorname{atan}{\left(7 c \right)}} \operatorname{atan}{\left(7 c \right)}}{x}$
Simplificamos:

$x^{\operatorname{atan}{\left(7 c \right)} - 1} \operatorname{atan}{\left(7 c \right)}$

Respuesta:

$x^{\operatorname{atan}{\left(7 c \right)} - 1} \operatorname{atan}{\left(7 c \right)}$

Primera derivada [src]

 atan(7*c)          
x         *atan(7*c)
--------------------
         x

$$\frac{x^{\operatorname{atan}{\left(7 c \right)}} \operatorname{atan}{\left(7 c \right)}}{x}$$

Simplificar

Segunda derivada [src]

 atan(7*c)                           
x         *(-1 + atan(7*c))*atan(7*c)
-------------------------------------
                   2                 
                  x

$$\frac{x^{\operatorname{atan}{\left(7 c \right)}} \left(\operatorname{atan}{\left(7 c \right)} - 1\right) \operatorname{atan}{\left(7 c \right)}}{x^{2}}$$

Simplificar

Tercera derivada [src]

 atan(7*c) /        2                   \          
x         *\2 + atan (7*c) - 3*atan(7*c)/*atan(7*c)
---------------------------------------------------
                          3                        
                         x

$$\frac{x^{\operatorname{atan}{\left(7 c \right)}} \left(\operatorname{atan}^{2}{\left(7 c \right)} - 3 \operatorname{atan}{\left(7 c \right)} + 2\right) \operatorname{atan}{\left(7 c \right)}}{x^{3}}$$

Simplificar

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Expresiones idénticas

Derivada de y=x^arctg7c

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Solución