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

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

Simplify the numerator.

Factor $f$ out of $f (a + h) - f a$ .

Factor $f$ out of $- f a$ .

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

Factor $f$ out of $f (a + h) + f (- 1 a)$ .

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

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

Rewrite $- 1 a$ as $- a$ .

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

Subtract $a$ from $a$ .

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

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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