Calculus Examples

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

Step 1

Apply the distributive property.

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

Step 2

Split the fraction $\frac{f x + f h - f (x)}{h}$ into two fractions.

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

Step 3

Split the fraction $\frac{f x + f h}{h}$ into two fractions.

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

Step 4

Cancel the common factor of $h$ .

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Step 4.1

Cancel the common factor.

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

Step 4.2

Divide $f$ by $1$ .

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

Step 5

Move the negative in front of the fraction.

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