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(x+1)^(x+1)
The derivative of the function/ (x+1)^(x+1)

Derivative of (x+1)^(x+1)

Function f() - derivative -N order at the point
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
       x + 1
(x + 1)
$$\left(x + 1\right)^{x + 1}$$ 
(x + 1)^(x + 1)
Detail solution

  1. Don't know the steps in finding this derivative.

    But the derivative is

  2. Now simplify:

The answer is:

The graph
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
       x + 1                 
(x + 1)     *(1 + log(x + 1))
$$\left(x + 1\right)^{x + 1} \left(\log{\left(x + 1 \right)} + 1\right)$$
Simplify
The second derivative [src] 
       1 + x /  1                     2\
(1 + x)     *|----- + (1 + log(1 + x)) |
             \1 + x                    /
$$\left(x + 1\right)^{x + 1} \left(\left(\log{\left(x + 1 \right)} + 1\right)^{2} + \frac{1}{x + 1}\right)$$
Simplify
The third derivative [src] 
       1 + x /                3      1       3*(1 + log(1 + x))\
(1 + x)     *|(1 + log(1 + x))  - -------- + ------------------|
             |                           2         1 + x       |
             \                    (1 + x)                      /
$$\left(x + 1\right)^{x + 1} \left(\left(\log{\left(x + 1 \right)} + 1\right)^{3} + \frac{3 \left(\log{\left(x + 1 \right)} + 1\right)}{x + 1} - \frac{1}{\left(x + 1\right)^{2}}\right)$$
Simplify
The graph
Derivative of (x+1)^(x+1)
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