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

4-20.

Differentiate each function below. That is, find its slope function, .

You could expand

before you differentiate. Or...You know that the derivative of

is. 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? Strategy 1:

Strategy 2:

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.