Math 1100
Homework 5
9 September, 2013
Name:
1. (12 points) Compute the derivative of each function below. Simplify your answer.
(a) f (x) = x10 − 6x4
(b) g(x) = 2x +
(c) h(x) =
√
x5
1
x
2. (10 points) Compute the following limit:
(2 + h)7 − 27
h→0
h
lim
If you aren’t sure how to start, here are some hints:
• There is a reasonably easy way to do this, and it involves derivatives. Don’t just
start multiplying.
• If this doesn’t look familiar, replace each 2 with an x.