Review Sheet for Exam 3
Review Sheet for Exam 3
Review Sheet for Exam 3
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General In<strong>for</strong>mation<br />
MATH 125<br />
<strong>Exam</strong> 3 <strong>Review</strong> <strong>Sheet</strong><br />
Professor DeStefano<br />
November 20, 2009<br />
As announced in the course syllabus, the third midterm exam of the semester will be<br />
given in class on Wednesday, December 2nd. If you have a conflict with this time you<br />
must notify me immediately to make alternate arrangements.<br />
You will need to use a basic scientific calculator <strong>for</strong> the exam. No graphing calculators<br />
will be allowed. If you do not have a basic scientific calculator, I will provide one <strong>for</strong> you<br />
to use during the exam. Also, all cell phones and iPods must be turned off and put away<br />
during the exam.<br />
Many of the exam questions will be similar to problems on the homework assignments,<br />
examples covered in class, and examples in the textbook. There will be five or six problems<br />
(some with multiple parts). If you know the material well, you should have plenty of time to<br />
complete the exam. If you get stuck on a problem, it is best to move on to the next problem.<br />
In other words, do all the problems you understand well first, and then come back to finish<br />
the ones you find more challenging. That way, if you run out of time, you have maximized<br />
the number of points you will receive on the exam. A timed exam tests how well you know<br />
the material. You must write a complete organized solution in order to receive full credit.<br />
The third exam covers the material from the sections of our textbook listed below.<br />
• 3.1 Derivatives of Polynomials and Exponential Functions<br />
Topics include derivative of a constant function, the power rule, the constant multiple<br />
rule, the sum and difference rules, and the derivative of the natural exponential<br />
function, e x .<br />
• 3.2 The Product and Quotient Rules<br />
Topics include the product rule and quotient rule.<br />
• 3.3 Derivatives of Trigonometric Functions<br />
Topics include derivative rules <strong>for</strong> basic trigonometric functions.<br />
• 3.4 The Chain Rule<br />
Topics include the chain rule and the derivative of the general exponential function a x .<br />
• 3.5 Implicit Differentiation<br />
Topics include implicit differentiation and derivatives of inverse trigonometric functions.
• 3.6 Inverse Trig. Functions and Their Derivatives<br />
Topics include basics in<strong>for</strong>mation about inverse trig. functions and derivative rules <strong>for</strong><br />
inverse trig. functions. You will only need to memorize the derivative rules <strong>for</strong> sin −1 x<br />
and tan −1 x.<br />
• 3.7 Derivatives of Logarithmic Functions<br />
Topics include derivative rules <strong>for</strong> logarithmic functions and logarithmic differentiation.<br />
• 3.8 Rates of Change in the Natural and Social Sciences<br />
Topics include applications of the derivative to problems in physics and economics.<br />
Problems on the exam will be similar to the problems assigned.<br />
• 4.2 Maximum and Minimum Values<br />
Topics include absolute maximum and minimun, local maxima and minima, and the<br />
Closed Interval Method <strong>for</strong> finding the absolute maximum and minimum of a continuous<br />
function on a closed interval.<br />
<strong>Review</strong> Problems<br />
Below are some additional problems to work through to help you prepare <strong>for</strong> the exam.<br />
Solutions to the even numbered problems will be posted by 7:00PM on Monday, November<br />
30th.<br />
Chapter 3 <strong>Review</strong> – Exercises 1-38, 41, 42, 47ab, 51, 52, 63, 64, 66, 68abce, 73.<br />
Chapter 4 <strong>Review</strong> – Exercises 1-6.
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