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

Derivative of x^(2*x)

Function f() - derivative -N order at the point
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The graph:

from to

Piecewise:

The solution

You have entered [src] 
 2*x
x
x2xx^{2 x} 
x^(2*x)
Detail solution

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

    But the derivative is

    (2x)2x(log⁡(2x)+1)\left(2 x\right)^{2 x} \left(\log{\left(2 x \right)} + 1\right)

The answer is:

(2x)2x(log⁡(2x)+1)\left(2 x\right)^{2 x} \left(\log{\left(2 x \right)} + 1\right)

The graph
02468-8-6-4-2-1010-5000000000000000000001e21
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
 2*x               
x   *(2 + 2*log(x))
x2x(2log⁡(x)+2)x^{2 x} \left(2 \log{\left(x \right)} + 2\right)
Simplify
The second derivative [src] 
   2*x /1                 2\
2*x   *|- + 2*(1 + log(x)) |
       \x                  /
2x2x(2(log⁡(x)+1)2+1x)2 x^{2 x} \left(2 \left(\log{\left(x \right)} + 1\right)^{2} + \frac{1}{x}\right)
Simplify
The third derivative [src] 
   2*x /  1                  3   6*(1 + log(x))\
2*x   *|- -- + 4*(1 + log(x))  + --------------|
       |   2                           x       |
       \  x                                    /
2x2x(4(log⁡(x)+1)3+6(log⁡(x)+1)x−1x2)2 x^{2 x} \left(4 \left(\log{\left(x \right)} + 1\right)^{3} + \frac{6 \left(\log{\left(x \right)} + 1\right)}{x} - \frac{1}{x^{2}}\right)
Simplify
The graph
Derivative of x^(2*x)
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