Math150Ch3Review

Math150Ch3Review - MATH 150 - CHAPTER 3 REVIEW SECTION 3.1:...

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MATH 150 - CHAPTER 3 REVIEW SECTION 3.1: INTRODUCTION Secant lines (related to the graph of yf x = () ) slope = average rate of change of with respect to on or =o r yx a a h a b fa h fa h fb fa ba ,, + [] [ ] + - () () - () - If this hf a ªª ¢ 0, , if it exists. Tangent lines slope = instantaneous rate of change of with respect to at = if it exists. Use algebra to work through this! = You may use our shortcuts unless you re told to use the limit definition. a h fa h lim Æ + - ¢ () ¢ ( ) 0 Slopes and equations of tangent lines Rectilinear motion Velocity = [Instantaneous] rate of change of position with respect to time. vt s t () = ¢() SECTION 3.2: ¢ fx Limit definition of the derivative ¢ + - Æ fx h fx h h = if it exists. Use algebra to work through this! lim 0 Key cases when the derivative is “DNE” Where there is a… mm LR = left - hand derivative; = right - hand derivative 1) Discontinuity 2) Corner π (Maybe one is ±• , but not both.) 3) Vertical tangent line m L is or -• , and m R is or -• .
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Math150Ch3Review - MATH 150 - CHAPTER 3 REVIEW SECTION 3.1:...

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