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(x+1)^(x+2)
Derivada de la función/ (x+1)/ (x+2)/ (x+1)^(x+2)

Derivada de (x+1)^(x+2)

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

Ha introducido [src] 
       x + 2
(x + 1)
(x+1)x+2\left(x + 1\right)^{x + 2} 
(x + 1)^(x + 2)
Solución detallada

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

    Perola derivada

    (x+2)x+2(log⁡(x+2)+1)\left(x + 2\right)^{x + 2} \left(\log{\left(x + 2 \right)} + 1\right)

  2. Simplificamos:

    (x+2)x+2(log⁡(x+2)+1)\left(x + 2\right)^{x + 2} \left(\log{\left(x + 2 \right)} + 1\right)

Respuesta:

(x+2)x+2(log⁡(x+2)+1)\left(x + 2\right)^{x + 2} \left(\log{\left(x + 2 \right)} + 1\right)

Gráfica
02468-8-6-4-2-1010020000000000000
Trazar el gráfico f(x)
Trazar el gráfico f'(x)
Primera derivada [src] 
       x + 2 /x + 2             \
(x + 1)     *|----- + log(x + 1)|
             \x + 1             /
(x+1)x+2(log⁡(x+1)+x+2x+1)\left(x + 1\right)^{x + 2} \left(\log{\left(x + 1 \right)} + \frac{x + 2}{x + 1}\right)
Simplificar
Segunda derivada [src] 
             /                            2 + x\
             |                    2   2 - -----|
       2 + x |/2 + x             \        1 + x|
(1 + x)     *||----- + log(1 + x)|  + ---------|
             \\1 + x             /      1 + x  /
(x+1)x+2(2−x+2x+1x+1+(log⁡(x+1)+x+2x+1)2)\left(x + 1\right)^{x + 2} \left(\frac{2 - \frac{x + 2}{x + 1}}{x + 1} + \left(\log{\left(x + 1 \right)} + \frac{x + 2}{x + 1}\right)^{2}\right)
Simplificar
Tercera derivada [src] 
             /                            2*(2 + x)     /    2 + x\ /2 + x             \\
             |                    3   3 - ---------   3*|2 - -----|*|----- + log(1 + x)||
       2 + x |/2 + x             \          1 + x       \    1 + x/ \1 + x             /|
(1 + x)     *||----- + log(1 + x)|  - ------------- + ----------------------------------|
             |\1 + x             /              2                   1 + x               |
             \                           (1 + x)                                        /
(x+1)x+2(3(2−x+2x+1)(log⁡(x+1)+x+2x+1)x+1−3−2(x+2)x+1(x+1)2+(log⁡(x+1)+x+2x+1)3)\left(x + 1\right)^{x + 2} \left(\frac{3 \left(2 - \frac{x + 2}{x + 1}\right) \left(\log{\left(x + 1 \right)} + \frac{x + 2}{x + 1}\right)}{x + 1} - \frac{3 - \frac{2 \left(x + 2\right)}{x + 1}}{\left(x + 1\right)^{2}} + \left(\log{\left(x + 1 \right)} + \frac{x + 2}{x + 1}\right)^{3}\right)
Simplificar
Gráfico
Derivada de (x+1)^(x+2)
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