The sign of for a differentiable function is given by the table below

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

Problem

The sign of

g'(x)

for a differentiable function

g

is given by the table below. Interval (-∞,−3) (−3,1) (1,4) (4,∞) Sign of

g'(x)

+ − + − At

x=-3,1,

and

4

g'(x)=0

. At which

x

–value does

g

attain a relative minimum? (a)

x=4

(b)

x=1

(c)

x=-3

(d)

x=-3\text{ and }4