The rate of change of f (x) is least at x
(A) −3
(B) −1.3
(C) 0
(D) 0.7
(E) 2.7
Use the following definition of the symmetric difference quotient for f ′ (x 0 ) for Questions 91–93:
For small values of h,
For f (x) = 5x, what is the estimate of f ′(2) obtained by using the symmetric difference quotient
with h = 0.03?
(A) 25.029
(B) 40.236
(C) 40.252
(D) 41.223
(E) 80.503
To how many places is the symmetric difference quotient accurate when it is used to
approximate f ′(0) for f (x) = 4x and h = 0.08?
(A) 1
(B) 2
(C) 3
(D) 4
(E) more than 4
To how many places is f ′(x 0 ) accurate when it is used to approximate f ′(0) for f (x) = 4x and h
= 0.001?
