Find @FORMULA f(x)=2^x

$f (x) = 2^{x}$

Step 1

Consider the difference quotient formula.

$\frac{f (x + h) - f (x)}{h}$

Step 2

Find the components of the definition.

Evaluate the function at $x = x + h$ .

Replace the variable $x$ with $x + h$ in the expression.

$f (x + h) = 2^{x + h}$

The final answer is $2^{x + h}$ .

$2^{x + h}$

Find the components of the definition.

$f (x + h) = 2^{x + h}$

$f (x) = 2^{x}$

$f (x + h) = 2^{x + h}$

$f (x) = 2^{x}$

Step 3

Plug in the components.

$\frac{f (x + h) - f (x)}{h} = \frac{2^{x + h} - (2^{x})}{h}$

Step 4

Multiply $- 1$ by $2^{x}$ .

$\frac{2^{x + h} - 2^{x}}{h}$

Step 5