### Home > APCALC > Chapter 5 > Lesson 5.5.2 > Problem 5-174

Use the definition of derivative as a limit to write an expression representing each of the following derivatives. Then evaluate each expression to write the actual derivative. l’Hôpital’s Rule may be used.

, whereSetup the definition of the derivative as a limit.

This is Hana's Method:Make a choice about how to evaluate this limit. These are your choices:

1) Use algebra. Simplify the fraction until you can 'cancel out' thein the denominator and then evaluate as.

2) Deconstruct Hana's Method. Once you identify, findusing the Power Rule. Of course, in this case, that is working in circles.

3) Use l'Hôpital's Rule; after all, there is ain the numerator and the denominator. , whereRefer to the hints in part (a).

, whereRefer to the hints in part (a).