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