If for every in and

MATHEMATICS · Single correct · CBSE · Mathematics · Applications of Derivatives · Applications of Derivatives

Problem

f'(x)>g'(x)

for every

x

(2,7)

and

f(2)=g(2)

, which one of the following statements holds for all

x\in(2,7)

? (a)

f(x)<g(x)

(b)

f(x)=g(x)

(c)

f(x)>g(x)

(d)

f(x)

and

g(x)

intersect exactly once in

(2,7)