### Home > APCALC > Chapter 3 > Lesson 3.2.3 > Problem 3-73

3-73.

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. 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.