Section 3.4
The Product and Quotient Rules:
The Product Rule
ilfu : f(;z:) and u : g(:z:) are differentiable functions, then
(ng = fg + fg.
The product rule can also be written
CZ("ZL"U) chi. d2!
2 ~t2+u -.
d3? d3? (1;):
In words:
The derivative of a prod
Chapter 5
Accumulated Change: The Definite Integral
In chapter 2, we started with a function and we used the derivative to find its rate
of change. In this chapter, if we start with the rate of change of a function can we
find the original function?
5.1 D
Essential Practice Problems: Integrals and their applications
Parts of Chapters 5, 6, 7
5.1 and 5.2 Estimating areas and integrals using rectangles
5.1 #3, 4, 8, 12
5.2 #1-11 odd
7.1 and 7.3 The Fundamental Theorem of Calculus: Finding Antiderivatives and
Math M119 Quiz 8
10:30
Name _ Number _
TI30Xa is the only permitted calculator in this class. You must show your work to receive credit.
Find the derivative of each function in 1-4.
1.
f ( x) = 3x 4 2 x 3 + 5 x 6
3. P (t ) = 6e t t
5. Find f ' (4) if f (
Math M119 Quiz 11
10:30
Name _ Number _
TI30Xa is the only permitted calculator in this class. You must show your work to receive credit.
1. Sketch the graph of a function with exactly 3 critical points: 2 local maxima and 1 local minimum.
2. Sketch a gra
Math M119 Quiz 4
10:30
Name _ Number _
TI30Xa is the only permitted calculator in this class. You must show your work to receive credit.
1. A citys population is 26,000 and growing at 1.5% per year. Estimate the population 12 years from now if
the 1.5% is