exam2review

Exam2review - Math 10A Midterm 2 Review Session Time 7:00pm-8:00pm Date Feb 27th 2008 Location Center 216 The exam will consist of approximately 5

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1 Math 10A Midterm 2 Review Session Time: 7:00pm-8:00pm Date: Feb. 27 th , 2008 Location: Center 216 The exam will consist of approximately 5 complete answer questions (10 points each) . Many questions are quite similar to the practice midterm and other assigned homework/review problems. Maybe you should look back over those… You will be allowed a calculator on the exam, so please bring one. There is no restriction on what you can bring, but you will not need anything more powerful than a TI-83. (You can probably get away with just a TI-34, actually.) You should bring a number two pencil. (You can bring more than one if you feel so inclined.) You will need to bring your own reference sheet for the exam. You can put whatever you feel is important on it (see the rest of this document for ideas.) Please, do not bring anything more than this. We reserve the right to place your backpacks in the front of the class (and probably will for the final exam). Also, you don’t need to worry about bringing a blue book, as you will be able to write directly on the exam. The exam will be held in class on Friday , February 29 th . It is going to be crowded and we are going to be extra vigilant on looking out for cheaters. If we catch you cheating, you will be referred to your college provost. It is even possible that you will be expelled from the university. Bottom line: Don’t cheat on this exam . Really, it’s not worth it. The test is designed to take about forty minutes. This means that you should have sufficient time to go back through your work and check your math. Remember, does your answer make sense? (Draw a picture/plug numbers in.) Solutions will be posted on my website http://math.ucsd.edu/~wgarner/math10a/winter2008/ some time after the exam so you can get a rough idea how you did. (Solutions should be up by Saturday evening, if not sooner.)
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2 Section 3.1: Powers and Polynomials If you have a constant times a function that you are taking the derivative of, you can factor out the constant. -ex. () () () 22 33 3 2 6 dd x xx x dx dx == = . If you are taking the derivative of the sum/difference of two functions, you can take the derivative of each piece -ex. 2 2 31 3 1 d x x x x dx dx dx −= = = . A special case of the power rule is x . ( ) 1/2 11 2 2 xxx dx dx x = . Know how to find the equation of the tangent line to the graph at a point. -ex. Find the eq. of the tangent line of y = x 2 at the point (1,1). (For a graphical solution, see the picture in Section 2.2.) Section 3.2: The Exponential Function Know (ln ) x x d aa a dx = . A special case of this is a = e . Then (ln ) x d ee e e dx . Section 3.3: The Product and Quotient Rules Know the product and quotient rules and how to apply them to problems Product Rule: ()() d f xgx f xg x dx =+ . Quotient Rule: 2 [() ] df x f x g x f x g x dx g x g x ⎛⎞ = ⎜⎟ ⎝⎠ .
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This note was uploaded on 04/08/2008 for the course MATH 10A taught by Professor Arnold during the Fall '07 term at UCSD.

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Exam2review - Math 10A Midterm 2 Review Session Time 7:00pm-8:00pm Date Feb 27th 2008 Location Center 216 The exam will consist of approximately 5

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