Math 1220
Quiz 1
September 1, 2015
Answer the 3 questions below. The value of each question is indicated at the
beginning of it. Please justify your answer in the space provided: writing the
solution without any explanation might not be enough. You can use the
homework exercises that you will be turning in today.
Name:
UID:
1. (6 pts) Compute the integral
Z
0
1
t+1
dt
2t2 + 4t + 3
2. (6 pts) Compute the derivative of the function
f (x) =
x3
− ln(1 + ex )
e−2x − x
3. Consider the function
Z
x
f (x) =
2
e−t dt
0
(a) (3 pts) What is the domain of f ?
(b) (5 pts) Find f 0 (x) and determine where is f (x) increasing / decreasing. Are there
any extreme points?
(c) (5 pts) Find f 00 (x) and determine where is f (x) concave up / down. Are there any
inflection points?
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