Calculus Examples

$y = \frac{π}{2} \cdot \sin (x) - \cos (x)$

Step 1

This derivative could not be completed using the quotient rule. Mathway will use another method.

Step 2

By the Sum Rule, the derivative of $\frac{π}{2} \cdot \sin (x) - \cos (x)$ with respect to $Z$ is $\frac{d}{d Z} [\frac{π}{2} \cdot \sin (x)] + \frac{d}{d Z} [- \cos (x)]$ .

$\frac{d}{d Z} [\frac{π}{2} \cdot \sin (x)] + \frac{d}{d Z} [- \cos (x)]$

Step 3

Since $\frac{π}{2} \cdot \sin (x)$ is constant with respect to $Z$ , the derivative of $\frac{π}{2} \cdot \sin (x)$ with respect to $Z$ is $0$ .

$0 + \frac{d}{d Z} [- \cos (x)]$

Step 4

Since $- \cos (x)$ is constant with respect to $Z$ , the derivative of $- \cos (x)$ with respect to $Z$ is $0$ .

$0 + 0$

Step 5

Add $0$ and $0$ .

$0$