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x^(x^2)
The derivative of the function/ x^(x^2)

Derivative of x^(x^2)

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

The graph:

from to

Piecewise:

The solution

You have entered [src] 
 / 2\
 \x /
x
$$x^{x^{2}}$$ 
x^(x^2)
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] 
 / 2\                 
 \x /                 
x    *(x + 2*x*log(x))
$$x^{x^{2}} \left(2 x \log{\left(x \right)} + x\right)$$
Simplify
The second derivative [src] 
 / 2\                                    
 \x / /                2               2\
x    *\3 + 2*log(x) + x *(1 + 2*log(x)) /
$$x^{x^{2}} \left(x^{2} \left(2 \log{\left(x \right)} + 1\right)^{2} + 2 \log{\left(x \right)} + 3\right)$$
Simplify
The third derivative [src] 
 / 2\                                                             
 \x / /2    3               3                                    \
x    *|- + x *(1 + 2*log(x))  + 3*x*(1 + 2*log(x))*(3 + 2*log(x))|
      \x                                                         /
$$x^{x^{2}} \left(x^{3} \left(2 \log{\left(x \right)} + 1\right)^{3} + 3 x \left(2 \log{\left(x \right)} + 1\right) \left(2 \log{\left(x \right)} + 3\right) + \frac{2}{x}\right)$$
Simplify
The graph
Derivative of x^(x^2)
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