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3-73.

Given each function below, write an equation for . Homework Help ✎

  1. Use the Power Rule.

  1. can be rewritten with a negative exponent.

  1. can be rewritten with a fractional exponent.

  1. You know that the derivative of is . Well, is a transformation of . So (its slope function) will be a transformation of .

    The represents a vertical stretch. How will that transform the derivative (slope) of ? The +π represents a horizontal shift. How will that transform the derivative (slope) of ?

    The derivative will also be shifted π units to the left and stretched by a factor of .