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x^(5*x)
The derivative of the function/ x^(5*x)

Derivative of x^(5*x)

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

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from to

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The solution

You have entered [src] 
 5*x
x
$$x^{5 x}$$ 
x^(5*x)
Detail solution

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

    But the derivative is

The answer is:

The graph
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The first derivative [src] 
 5*x               
x   *(5 + 5*log(x))
$$x^{5 x} \left(5 \log{\left(x \right)} + 5\right)$$
Simplify
The second derivative [src] 
   5*x /1                 2\
5*x   *|- + 5*(1 + log(x)) |
       \x                  /
$$5 x^{5 x} \left(5 \left(\log{\left(x \right)} + 1\right)^{2} + \frac{1}{x}\right)$$
Simplify
The third derivative [src] 
   5*x /  1                   3   15*(1 + log(x))\
5*x   *|- -- + 25*(1 + log(x))  + ---------------|
       |   2                             x       |
       \  x                                      /
$$5 x^{5 x} \left(25 \left(\log{\left(x \right)} + 1\right)^{3} + \frac{15 \left(\log{\left(x \right)} + 1\right)}{x} - \frac{1}{x^{2}}\right)$$
Simplify
The graph
Derivative of x^(5*x)
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