A twice-differentiable function is defined on the closed interval
MATHEMATICS · Single correct · A Level · Mathematics · Differentiation · Differentiation
Problem
A twice-differentiable function g is defined on the closed interval [−2,4]. The derivative satisfies g′(x)>0 on (−2,1) and g′(x)<0 on (1,4), with g′(1)=0. Which x-value is most likely to be the location of the absolute maximum of g on [−2,4]?
(a) x=0
(b) x=1
(c) x=−2
(d) x=4