Math 124 Review Sheet Midterm 1

Math 124 Review Sheet Midterm 1 - There are tons of...

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Review for the Second Midterm Exam - Math 124 The primary topics for this exam are: derivatives, including implicit differentiation related rates linear approximation The relevant sections of the text are 3.4-3.6, 3.9, 3.10, 4.1, and 4.3. Here are some things to consider about each topic. Derivatives For this exam, you should know how to differentiate everything. That is, you should be able to ±nd f ( x ) given f ( x ) , and f ( x ) could be any combination of algebraic expressions, trigonometric and inverse trigonometric functions, logarithmic functions and exponential functions. Also, you should be able to ±nd dy dx given an implicit equation which relates y and x . Generally, this means using implicit differentiation . You should understand and be able to use the technique of logarithmic differentiation
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Unformatted text preview: . There are tons of problems in Stewart to practice. For starters, problems 7-54 of section 3.4, 5-36 of section 3.5, and problems 2-50 of 3.6 cover all the basic procedures. Also, problems 1-50 on page 262 can’t be beat. From 3.5, I also like 59-62, 65 and 66. Related Rates Related rates problems come in a pretty wide variety; every problem in section 3.9 would be good practice. Try to work a bunch of different ones, particularly from the later problems in the section. Problems 91-101 on page 264 are also related rates problems. Linear Approximation You should understand how the tangent line to the graph of a function can be used to estimate the value of the function. Problems 23-31 of section 3.10 are good, basic practice. 1...
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