\\\\table[[

x

,0,1,2,3,4,5],[

f^(')(x)

,-3,0,-1,5,0,-3],[

f^('')(x)

,5.3,-2.0,1.7,-0.5,1.2,-5.1]]\ Let

f

be a twice-differentiable function. Selected values of

f^(')

and

f^('')

are shown in the table above. Which of the following statements are true?\ I.

f

has neither a relative minimum nor a relative maximum at

x=1

.\ II.

f

has a relative maximum at

x=1

.\ III.

f

has a relative maximum at

x=4

.\ (A) I only\ II only\ (C) III only\ D I and III only

Let f be a twice-differentiable function. Selected values of f and f are shown in the table above. Which of the following statements are true? I. f has neither a relative minimum nor a relative maximum at x=1. II. f has a relative maximum at x=1. III. f has a relative maximum at x=4. (A) I only II only (C) III only (D) I and III only