General Information
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The exam will be held on Thursday, November 29, from 5:30pm to 7:00pm, in Smith Labs 154.
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Plan to arrive a few minutes early to allow time to distribute the exams.
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The exam will cover material from sections 3.4, 3.6, 3.7, 3.8, 3.9, and 3.10 in the text.
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Cell-phones should be turned OFF for the duration of the exam.
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You may use a non-graphing, scientific calculator during the exam. No other calculator or electronic device may be used during the exam.
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This is a closed-book exam. No books or notes may be used during the exam.
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You will be expected to show all of your work. A correct answer with insufficient justification
may not receive full credit.
Topics
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Rates of Change. (3.4) Be able to calculate and interpret (using correct units) the derivative of a function used to model some quantity.
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Derivatives of Trigonometric Functions. (3.6) Know the derivatives of the six standard trigonometric functions.
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Chain Rule. (3.7) Know how to use the chain rule to compute derivatives of functions that involve compositions.
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Implicit Differentiation. (3.8) Given an equation involving x and y, know how to use implicit differentiation to find dy/dx. Also be able to find the equation of the tangent line at a given point, and be able to find points where the tangent line has a given slope. Know the derivatives of the inverse trigonometric functions.
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Derivatives of Exponential and Logarithmic Functions. (3.9) Know the derivative of ln(x), ln(f(x)), and bx.
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Logarithmic Differentiation. (3.9) Know how to use logarithmic differentiation to find the derivative of a given function.
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Related Rates. (3.10) Be able to set up and solve related rates problems similar to those given on the homework assignments.
Preparing for the Exam
The exam will consist of questions similar to those assigned on the worksheets (13 through 17), quizzes (7 and 8) and WebAssign (Assignments 7 through 9). Be sure you are familiar with how to solve these types of problems. Here are a some additional problems from the Chapter Review sections to use for practice. Solutions to the odd-numbered exercises are in the back of the text.
Chapter 3 Review, p. 189
Exercises 35-40, 42-54, 57-76, 82, 85-92, 101-106, 109-114, 118, 120, 123
