Calculus Examples

$f (x) = 12 + \frac{1}{7^{3}}$

Step 1

Raise $7$ to the power of $3$ .

$\frac{d}{d x} [12 + \frac{1}{343}]$

Step 2

By the Sum Rule, the derivative of $12 + \frac{1}{343}$ with respect to $x$ is $\frac{d}{d x} [12] + \frac{d}{d x} [\frac{1}{343}]$ .

$\frac{d}{d x} [12] + \frac{d}{d x} [\frac{1}{343}]$

Step 3

Since $12$ is constant with respect to $x$ , the derivative of $12$ with respect to $x$ is $0$ .

$0 + \frac{d}{d x} [\frac{1}{343}]$

Step 4

Since $\frac{1}{343}$ is constant with respect to $x$ , the derivative of $\frac{1}{343}$ with respect to $x$ is $0$ .

$0 + 0$

Step 5

Add $0$ and $0$ .

$0$