For a twice-differentiable function

MATHEMATICS · Single correct · A Level · Mathematics · Differentiation · Differentiation

Problem

f

, which of the following must occur at

x=c

if the graph of

f

has a point of inflection at

(c,f(c))

? (a)

f(c)=0

(b)

f'

has a local maximum or minimum at

x=c

(c)

f''(c)>0

(d)

f'(c)=0