Given each function below, write an equation for
Use the Power Rule.
can be rewritten with a negative exponent. can be rewritten with a fractional exponent.
You know that the derivative of
is . Well, is a transformation of . So (its slope function) will be a transformation of .
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