Calculus Examples

$\sin (h (2 x))$

Step 1

To apply the Chain Rule, set $u$ as $h (2 x)$ .

$\frac{d}{d u} [\sin (u)] \frac{d}{d x} [h (2 x)]$

Step 2

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

$\cos (u) \frac{d}{d x} [h (2 x)]$

Step 3

Replace all occurrences of $u$ with $h (2 x)$ .

$\cos (h (2 x)) \frac{d}{d x} [h (2 x)]$