Homework 5
Math 1100
Name:
9 September 2013
key
1. (12 points) Compute the derivative of each function below. Simplify your answer.
(a) f(x)
= x10
—
6x
)Qc9_2LI.c
(b) g(x)
2x +
=
ZXf X’
2
(x)
(c) h(x)
—
=
x
k’(x’)
x
x
2. (10 points) Compute the following limit:
lirn
—2
7
(2+h)
h
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.
—
7
(vh)
--
iì
-
h
-
d,c
A
X2
7Z’
-7.”