Derivative of y=2^x

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x
2

$$2^{x}$$

d / x\
--\2 /
dx

$$\frac{d}{d x} 2^{x}$$

Transform

Detail solution

The answer is:

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

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

 x       
2 *log(2)

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

Simplify

The second derivative [src]

 x    2   
2 *log (2)

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

Simplify

The third derivative [src]

 x    3   
2 *log (2)

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

Simplify

The graph