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x^x
The derivative of the function/ x^x

Derivative of x^x

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

The graph:

from to

Piecewise:

The solution

You have entered [src] 
 x
x
$$x^{x}$$ 
x^x
Detail solution

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

    But the derivative is

The answer is:

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