chapter3_test - AP Calculus(BC Chapter 3 Test No Calculator...

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AP Calculus (BC) Chapter 3 Test No Calculator Section Name: Date: Period: Part I. Multiple-Choice Questions (5 points each; please circle the correct answer.) 1. If g ( x ) = 3 x 2 + x 3 x 2 - x , then g 0 ( x ) = (A) 1 (B) 6 x 2 + 1 6 x 2 - 1 (C) - 6 (3 x - 1) 2 (D) - 2 x 2 ( x 2 - x ) 2 (E) 36 x 2 - 2 x ( x 2 - x ) 2 2. If the function f ( x ) is differentiable for all x and if f ( x ) = ( ax 3 - 6 x if x 1 bx 2 + 4 if x > 1 , then a = 3. Find the slope of the normal line to the graph of y = x + cos xy at the point (0 , 1) .
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The next two questions pertain to the function f , whose graph is given below: -6 -4 -2 2 4 6 -10 -5 5 10 x y y=f(x) 4. For the function f , I. f 0 ( - 3) > 0 II. f 0 (0) < 0 III. f is differentiable on the interval (0 , 1) 5. For the function f I. f 0 ( x ) > 0 on the interval ( - 5 , - 4) II. f 0 ( x ) is constant on the interval (4 , 6) III. f 0 is not defined at all points of (1 , 5) (A) I only (B) II only (C) III only (D) I and II (E) II and III
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Part II. Free-Response Questions 6. The graph below depicts the velocity v = s 0 ( t ) of a particle moving along a straight line,
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