Calculus Examples

$u = v + \cos (v)$

Step 1

By the Sum Rule, the derivative of $v + \cos (v)$ with respect to $u$ is $\frac{d}{d u} [v] + \frac{d}{d u} [\cos (v)]$ .

$\frac{d}{d u} [v] + \frac{d}{d u} [\cos (v)]$

Step 2

Since $v$ is constant with respect to $u$ , the derivative of $v$ with respect to $u$ is $0$ .

$0 + \frac{d}{d u} [\cos (v)]$

Step 3

Since $\cos (v)$ is constant with respect to $u$ , the derivative of $\cos (v)$ with respect to $u$ is $0$ .

$0 + 0$

Step 4

Add $0$ and $0$ .

$0$