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Unformatted text preview: f ( x ) = 4 x1. (b) Find the slope of y = f ( x ) at x =1. (c) Find the point on the graph of y = f ( x ) at x =1. (d) Find the tangent line, in slopeintercept form, to y = f ( x ) at x =1. 5. (12 pts) If y = 3 √ 3 x + 2, ﬁnd d 3 y dx 3 . 6. (30 pts) Using the derivative rules developed in class, ﬁnd the derivatives of the following. Do not simplify your answers. (a) g ( x ) = 5 x 10 + 4 4 √ x 3 + x 542 (b) f ( x ) = ( x 12 + 3 x 4 + 4)(4 x 31) (c) y = 12 x 2 x 42 x 2 + 5 (d) h ( x ) = 5 7 (2 x 3x + 6) 14 + 3 x (e) y = 3 x 3 √ 4 x 4 + 3 Extra Credit 5 pts: For f ( x ) = ax 2 + bx + c where a,b,c are constants and a 6 = 0, ﬁnd where the instantaneous rate of change is zero. What is this called?...
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 Fall '08
 SMITH
 Math, Derivative, 5 pts, 12 pts, 10 pts, 16 pts, 30 pts

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