Calculus Examples

$y = \frac{π}{3} \sin (θ)$

Step 1

Since $\frac{π}{3}$ is constant with respect to $θ$ , the derivative of $\frac{π}{3} \sin (θ)$ with respect to $θ$ is $\frac{π}{3} \frac{d}{d θ} [\sin (θ)]$ .

$\frac{π}{3} \frac{d}{d θ} [\sin (θ)]$

Step 2

The derivative of $\sin (θ)$ with respect to $θ$ is $\cos (θ)$ .

$\frac{π}{3} \cos (θ)$

Step 3

Combine $\frac{π}{3}$ and $\cos (θ)$ .

$\frac{π \cos (θ)}{3}$