Differentiate each function below. That is, write an equation for the slope function,
You could expand
before you differentiate. Or...
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 a in the denominator... be sure to restrict the domain of the derivative.