Simplify (f(3+h)-f(3))/h

$\frac{f (3 + h) - f (3)}{h}$

Simplify the numerator.

Factor $f$ out of $f (3 + h) - f \cdot 3$ .

Factor $f$ out of $- f \cdot 3$ .

$\frac{f (3 + h) + f (- 1 \cdot 3)}{h}$

Factor $f$ out of $f (3 + h) + f (- 1 \cdot 3)$ .

$\frac{f (3 + h - 1 \cdot 3)}{h}$

$\frac{f (3 + h - 1 \cdot 3)}{h}$

Multiply $- 1$ by $3$ .

$\frac{f (3 + h - 3)}{h}$

Subtract $3$ from $3$ .

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

Add $h$ and $0$ .

$\frac{f h}{h}$

$\frac{f h}{h}$

Cancel the common factor of $h$ .

Cancel the common factor.

$\frac{f h}{h}$

Divide $f$ by $1$ .

$f$

$f$

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