Chapter 4
Section 4.1 Related Rates
worksheet Related Rates
HW OpenStax pages 350-351: 1, 3, 17, 19, 21, 23, 25, 27, 29, 31, 35
Section 4.2 Linear
Approximations and Differentials
worksheet
Linear Approximations and Differentials
HW OpenStax pages 364-365: 47-89 odds
Section 4.3 Maxima and Minima
worksheet Maxima and Minima
HW Knewton: Extreme Value Theorem and Absolute Extrema
Section 4.4 The Mean Value
Theorem
worksheet The Mean Value Theorem
HW Knewton: Rolle's Theorem and the Mean Value Theorem
Section 4.5 Derivatives and the Shape of a Graph LONG with LOTS of
examples Curve Sketching
examples
worksheet Derivatives and the Shape of a Graph
HW OpenStax pg 403-406: 195-229 odds
Section
4.6 Limits of Infinity and Asymptotes
worksheet Limits of Infinity and Asymptotes
HW OpenStax pg 436-438: 251-297 odds (you should not need a calculator for any
of these)
Section 4.7 Applied
Optimization Problems
worksheet Applied Optimization Problems
HW Knewton Applied Optimization Problems
Section 4.8 L'Hopital's Rule
worksheet on L'Hopital's Rule
HW OpenStax pages 470-471; 357-405 odds (typo on 393, x should go to infinity)
Section 4.9 Newton's Method
worksheet Newton's Method
HW Knewton Approximations with Newton's Method
Section 4.10 Antiderivatives
HW OpenStax pages 497-498; 465-519 odds (you should NOT need a calculator on any
of these)
Return to Anna's MATH 141 page
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Community College
Questions asked by students OpenStax problems
Differential 85 can't do error as the problem did not give enough information
Computing values using linearization examples problems 56, 58
4.8 number 393 has a typo here is a video
4.8 lim of 1 minus 1 divided by x to the x power as x goes to infinity number 395
4.8 lim x times sin of 1 divided by x as x goes to zero 397