Rate of Change:
1)
Suppose that f (t ) = t 3 - 2t - 1
a)
b)
2)
What is the average rate of change of f (t ) over the interval 2 to 3?
What is the (instantaneous) rate of change of f (t ) when t = 2 ?
Suppose that f (t ) =
- 2
3t
a)
What is the average rat

Differentiate the following functions:
1)
y = ee + e x + x + e
Answer:
2)
2
y = xe x + ep
Answer:
3)
y=
e2x
x2
Answer:
4)
(
)
y = e 2 ln x x 3 - 1
Answer:
5)
y = ln(x + 1) - ln(x + 1) + ln 5 x
5
2
Answer:
6)
(
)
y = ln e x x 3 - 1
Answer:
7)
e 2 ln x
y =

Exponential Growth and Decay
1)
At 12pm, there were around 1000 bacteria. At 3pm, around 6000 bacteria were
found. Assume population of bacteria grows proportional to its size.
A) Find the growth constant.
B) Find the population of bacteria at 5pm.
C) How

Math 205
Chapter 3 Suggested Exercises *NOT the Homework to submit*
Section
Suggested Exercises
3.1 Derivatives
1-46 (skip graphing the curves in 43 and 44),
61-67 (skip part c in 640
3.2 Linear Approximation
3-6, 9-12,
3.3 Product and Quotient Rules
3-20