Test 1 Review

Test 1 Review - Math 1309 Chapter 9 The Derivative Review...

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Math 1309 Chapter 9: The Derivative Review for Test #1 1. Page 575 (23 – 40), Page 576 (49 – 62), Page 577 (73 – 80), Page 687 (1 – 14) Find each of the indicated limits, if it exists. a. ( 29 2 4 lim 2 2 + - - x x x b. 3 3 lim 3 - - x x x c. x f x f x ) 2 ( ) 2 ( lim 0 - + for x x f = ) ( d. 2 1 4 lim 2 + - -∞ x x x e. 2 4 2 1 3 2 lim x x x x x - + + f. ( 29 5 6 2 lim 2 3 + - + -∞ x x x x 2. Page 592 (57 – 60) Determine points of discontinuity and intervals where f(x) is continuous . 3 2 2 ) ( 2 - - - = x x x x f 3. Page 612 (11 – 16) Use the definition of a derivative to find f ‘(x) if f(x) = 3x – 4x 2 . (The directions may also read “Use the four-step process to find the slope of the tangent line to the graph of the given function at any point.”) 4 through 7. Use derivative rules (short cuts) to find derivatives and simplify. Page 625 (1 – 30) Pages 641 (1 – 30) Pages 656 (1 – 48) 4

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Test 1 Review - Math 1309 Chapter 9 The Derivative Review...

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