Calculus Examples

$\sin (h (\ln (t)))$

Step 1

To apply the Chain Rule, set $u$ as $h (\ln (t))$ .

$\frac{d}{d u} [\sin (u)] \frac{d}{d t} [h (\ln (t))]$

Step 2

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

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

Step 3

Replace all occurrences of $u$ with $h (\ln (t))$ .

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