Calculus Examples

$y = \sin (π) + 3$

Step 1

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

$\frac{d}{d y} [\sin (0) + 3]$

Step 2

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

$\frac{d}{d y} [0 + 3]$

Step 3

By the Sum Rule, the derivative of $0 + 3$ with respect to $y$ is $\frac{d}{d y} [0] + \frac{d}{d y} [3]$ .

$\frac{d}{d y} [0] + \frac{d}{d y} [3]$

Step 4

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

$0 + \frac{d}{d y} [3]$

Step 5

Since $3$ is constant with respect to $y$ , the derivative of $3$ with respect to $y$ is $0$ .

$0 + 0$

Step 6

Add $0$ and $0$ .

$0$