Calculus Volume 1

Chapter 3 | Derivatives

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3.2 EXERCISES For the following exercises, use the definition of a derivative to find f ′( x ). 54. f ( x ) =6 55. f ( x ) =2−3 x 56. f ( x ) = 2 x 7 +1 57. f ( x ) =4 x 2 58. f ( x ) =5 x − x 2

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59. f ( x ) = 2 x

60. f ( x ) = x −6

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61. f ( x ) = 9 x 62. f ( x ) = x + 1 x 63. f ( x ) = 1 x For the following exercises, use the graph of y = f ( x ) to sketch the graph of its derivative f ′( x ).

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