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x^(3*x)
The derivative of the function/ x^(3*x)

Derivative of x^(3*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] 
 3*x
x
$$x^{3 x}$$ 
x^(3*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] 
 3*x               
x   *(3 + 3*log(x))
$$x^{3 x} \left(3 \log{\left(x \right)} + 3\right)$$
Simplify
The second derivative [src] 
   3*x /1                 2\
3*x   *|- + 3*(1 + log(x)) |
       \x                  /
$$3 x^{3 x} \left(3 \left(\log{\left(x \right)} + 1\right)^{2} + \frac{1}{x}\right)$$
Simplify
The third derivative [src] 
   3*x /  1                  3   9*(1 + log(x))\
3*x   *|- -- + 9*(1 + log(x))  + --------------|
       |   2                           x       |
       \  x                                    /
$$3 x^{3 x} \left(9 \left(\log{\left(x \right)} + 1\right)^{3} + \frac{9 \left(\log{\left(x \right)} + 1\right)}{x} - \frac{1}{x^{2}}\right)$$
Simplify
The graph
Derivative of x^(3*x)
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