Calculus Examples

$\sin (π) x$

Step 1

Apply the reference angle by finding the angle with equivalent trig values in the first quadrant.

$\frac{d}{d x} [\sin (0) x]$

Step 2

The exact value of $\sin (0)$ is $0$ .

$\frac{d}{d x} [0 x]$

Step 3

Multiply $0$ by $x$ .

$\frac{d}{d x} [0]$

Step 4

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

$0$