Calculus Examples

$Q (x) = \frac{F (x)}{G (x)}$

Step 1

Cancel the common factor of $x$ .

Tap for more steps...

Step 1.1

Cancel the common factor.

$\frac{d}{d F} [\frac{F x}{G x}]$

Step 1.2

Rewrite the expression.

$\frac{d}{d F} [\frac{F}{G}]$

Step 2

Since $\frac{1}{G}$ is constant with respect to $F$ , the derivative of $\frac{F}{G}$ with respect to $F$ is $\frac{1}{G} \frac{d}{d F} [F]$ .

$\frac{1}{G} \frac{d}{d F} [F]$

Step 3

Differentiate using the Power Rule which states that $\frac{d}{d F} [F^{n}]$ is $n F^{n - 1}$ where $n = 1$ .

$\frac{1}{G} \cdot 1$

Step 4

Multiply $\frac{1}{G}$ by $1$ .

$\frac{1}{G}$