Calculus Examples

$f (x) = \cos (h (2 x))$

Step 1

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

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

Step 2

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

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

Step 3

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

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