Derivative of 8^x

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x
8

$$8^{x}$$

8^x

Detail solution

The answer is:

$\log{\left(8^{8^{x}} \right)}$

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

 x       
8 *log(8)

$$8^{x} \log{\left(8 \right)}$$

Simplify

The second derivative [src]

 x    2   
8 *log (8)

$$8^{x} \log{\left(8 \right)}^{2}$$

Simplify

The third derivative [src]

 x    3   
8 *log (8)

$$8^{x} \log{\left(8 \right)}^{3}$$

Simplify

The graph