Calculus Volume 1

Answer Key

805

105 . H ″( t ) =0, G ″( t ) = 2.858 and f ″( t ) =1.222 t +5.912 represent the acceleration of the rocket, with units of meters per second squared ⎛ ⎝ m/s 2 ). 107 . f ′( x ) =15 x 2 −1 109 . f ′( x ) =32 x 3 +18 x 111 . f ′( x ) =270 x 4 + 39 ( x +1) 2 113 . f ′( x ) = −5 x 2 115 . f ′( x ) = 4 x 4 +2 x 2 −2 x x 4

2 −18 x +64

f ′( x ) = − x

117 .

2

⎛ ⎝ x 2 −7 x +1 ⎞ ⎠

119 .

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