For a continuous function

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

Problem

f

, the derivative satisfies

f'(x)>0

for

x<2

and

f'(x)<0

for

x>2

. What can be concluded about

x=2

? (a)

f

attains a local minimum at

x=2

(b)

x=2

is a point of inflection of

f

(c)

f

attains a local maximum at

x=2

(d) No conclusion about extrema can be drawn