Derivative of 4^x

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x
4

$$4^{x}$$

4^x

Detail solution

The answer is:

$\log{\left(4^{4^{x}} \right)}$

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

 x       
4 *log(4)

$$4^{x} \log{\left(4 \right)}$$

Simplify

The second derivative [src]

 x    2   
4 *log (4)

$$4^{x} \log{\left(4 \right)}^{2}$$

Simplify

The third derivative [src]

 x    3   
4 *log (4)

$$4^{x} \log{\left(4 \right)}^{3}$$

Simplify

The graph