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

  1. 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?

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

  3. Before you differentiate, expand

  4. 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.