Barrons AP Calculus - David Bock

(dmanu) #1
(A) 1

(B) 2

(C) 3

(D) 4

(E) more than 4


  1. The value of f ′(0) obtained using the symmetric difference quotient with f (x) = |x| and h =
    0.001 is
    (A) −1
    (B) 0
    (C) ±1
    (D) 1
    (E) indeterminate

  2. If and h(x) = sin x, then equals
    (A) g(sin x)
    (B) cos x · g(x)
    (C) g ′(x)
    (D) cos x · g (sin x)
    (E) sin x · g(sin x)


  3. Let f (x) = 3x − x^3. The tangent to the curve is parallel to the secant through (0,1) and (3,0) for x


    (A) 0.984 only
    (B) 1.244 only
    (C) 2.727 only
    (D) 0.984 and 2.804 only
    (E) 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.



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