Calculus Examples

$f (x) = \sin (h (3 x))$

Step 1

To apply the Chain Rule, set $u$ as $h (3 x)$ .

$\frac{d}{d u} [\sin (u)] \frac{d}{d x} [h (3 x)]$

Step 2

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

$\cos (u) \frac{d}{d x} [h (3 x)]$

Step 3

Replace all occurrences of $u$ with $h (3 x)$ .

$\cos (h (3 x)) \frac{d}{d x} [h (3 x)]$