Derivative of 2^x+1

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 x    
2  + 1

$$2^{x} + 1$$

2^x + 1

Detail solution

Differentiate $2^{x} + 1$ term by term:
1. $\frac{d}{d x} 2^{x} = 2^{x} \log{\left(2 \right)}$
2. The derivative of the constant $1$ is zero.
The result is: $2^{x} \log{\left(2 \right)}$

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