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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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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