### Home > APCALC > Chapter 5 > Lesson 5.2.2 > Problem5-75

5-75.

Use your derivative tools to determine $\frac { d h } { d x }$ for each function below.

1. $h(x) = \cos(x^2)$

Use the Chain Rule.

2. $h(x) =\sqrt [ 3 ] { \operatorname { sin } ( x ) }$

3. $h(x) = 6x^{2/3}$

Use the Power Rule.

4. $h(x)=$ $\frac{1}{2}x^5\sqrt{x-1}$

Rewrite the square root function as a power.  Then use the Product Rule.

5. $h(x) = 2 \sin\frac { 1 } { x }$

6. $h(x) = -4 \cos(x)\sin(x)$