Evaluate (f(2+h)-f(2))/h

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

Step 1

Simplify the numerator.

Factor $f$ out of $f (2 + h) - f \cdot 2$ .

Factor $f$ out of $- f \cdot 2$ .

$\frac{f (2 + h) + f (- 1 \cdot 2)}{h}$

Factor $f$ out of $f (2 + h) + f (- 1 \cdot 2)$ .

$\frac{f (2 + h - 1 \cdot 2)}{h}$

$\frac{f (2 + h - 1 \cdot 2)}{h}$

Multiply $- 1$ by $2$ .

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

Subtract $2$ from $2$ .

$\frac{f (h + 0)}{h}$

Add $h$ and $0$ .

$\frac{f h}{h}$

$\frac{f h}{h}$

Step 2

Cancel the common factor of $h$ .

Cancel the common factor.

$\frac{f h}{h}$

Divide $f$ by $1$ .

$f$

$f$

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