### Home > CALC > Chapter 11 > Lesson 11.2.1 > Problem11-46

11-46.

If $g ( h ( t ) ) = \operatorname { cos } \sqrt { t }$, $g ( t ) = \operatorname { cos } t$and $h ( t ) = \sqrt { t }$,

1. Find $\frac { d g } { d t }$ and $\frac { d h } { d t }$.

2. Verify that $\frac { d g } { d h } = \frac { \frac { d g } { d t } } { \frac { d h } { d t } }$.

Use the individual functions, not the composite function.

$g(t)=\cos(h(t))^2$