Barrons AP Calculus

(A)

(B)

(C)

(D)

(E)

96.

(A)

(B)

(C)

(D)

(E)

97.

(A)

(B)

(C)

(D)

(E)

g(sin   x)

cos x · g(x)

g′(x)

cos x · g   (sin    x)

sin x · g(sin   x)

Let f   (x)  =   3x  −  x^3 .    The     tangent     to  the     curve   is  parallel    to  the     secant

through (0,1)   and (3,0)   for x   =

0.984   only

1.244   only

2.727   only

0.984   and 2.804   only

1.244   and 2.727   only

Questions 97–101 are based on the following graph of f(x), sketched on −6 ≤ x
≤ 7. Assume the horizontal and vertical grid lines are equally spaced at unit
intervals.

On  the interval    1   <   x   <   2,  f   (x) equals

−x  −   2

−x  −   3

−x  −   4

−x +    2

x   −   2