Calculus Examples

$y = \sin (h (\cos (h (x))))$

Step 1

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

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

Step 2

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

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

Step 3

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

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