Precalculus Examples

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

Step 1

Simplify the numerator.

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Step 1.1

Factor $F$ out of $F (x + h) - F x$ .

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Step 1.1.1

Factor $F$ out of $- F x$ .

$\frac{F (x + h) + F (- 1 x)}{h}$

Step 1.1.2

Factor $F$ out of $F (x + h) + F (- 1 x)$ .

$\frac{F (x + h - 1 x)}{h}$

$\frac{F (x + h - 1 x)}{h}$

Step 1.2

Rewrite $- 1 x$ as $- x$ .

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

Step 1.3

Subtract $x$ from $x$ .

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

Step 1.4

Add $h$ and $0$ .

$\frac{F h}{h}$

$\frac{F h}{h}$

Step 2

Cancel the common factor of $h$ .

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Step 2.1

Cancel the common factor.

$\frac{F h}{h}$

Step 2.2

Divide $F$ by $1$ .

$F$

$F$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$