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 a in the denominator... be sure to restrict the domain of the derivative.