Derivative of 3^x

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x
3

$$3^{x}$$

3^x

Detail solution

The answer is:

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

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

 x       
3 *log(3)

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

Simplify

The second derivative [src]

 x    2   
3 *log (3)

$$3^{x} \log{\left(3 \right)}^{2}$$

Simplify

The third derivative [src]

 x    3   
3 *log (3)

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

Simplify

The graph