### Home > APCALC > Chapter 4 > Lesson 4.2.4 > Problem4-87

4-87.

Differentiate.

1. $\frac{d}{dx}(\sin(x−5))$

$\sin(x−5)$ is a horizontal shift of $\sin x$. The slopes will shift with the points.

$\cos(x−5)$

2. $\frac{d}{dx}(x^{82}−6)$

Use the Power Rule.

3. $\frac { d } { d m } ( - 2 m ^ { 3 / 2 } )$

Use the Power Rule.

4. $\frac{d}{dx}(x+6)^3$

You could expand first or... refer to the hint in part (a).