### Home > APCALC > Chapter 4 > Lesson 4.1.2 > Problem 4-20

4-20.

Differentiate each function below. That is, write an equation for the slope function, .

You could expand

before you differentiate. Or...Strategy 1:

Strategy 2:You know that the derivative of

. What about the vertical stretch of? If the is stretched by a factor of, what happens to its slopes/derivative? Are they stretched as well? What does the

do to a sine graph? How will this affect the slope function? Before you differentiate, expand

Before you differentiate, simplify

. But, don't forget that there was once ain the denominator... be sure to restrict the domain of the derivative.