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

  1. 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:

  1. What does the do to a sine graph? How will this affect the slope function?

  1. Before you differentiate, expand .

  1. 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.