Barrons AP Calculus - David Bock

(dmanu) #1
(B) f ′(6) = 0
(C) f ′(8) > 0
(D) The maximum value of f on the interval [2,10] is 30.
(E) For some value of x on the interval [2,10] f ′(x) = 0.


  1. If f is differentiable and difference quotients overestimate the slope of f at x = a for all h > 0,
    which must be true?
    (A) f ′(a) > 0
    (B) f ′(a) < 0
    (C) f ′′(a) > 0
    (D) f ′′(a) < 0
    (E) none of these

  2. If f (u) = sin u and u = g(x) = x^2 − 9, then (f ° g) ′(3) equals
    (A) 0
    (B) 1
    (C) 6
    (D) 9
    (E) none of these

  3. If then the set of x’s for which f ′(x) exists is


(A) all reals
(B) all reals except x = 1 and x = −1
(C) all reals except x = −1
(D) all reals except and x = −1
(E) all reals except x = 1


  1. If then the derivative of y^2 with respect to x^2 is
    (A) 1
    (B)
    (C)
    (D)
    (E)

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