Let and be differentiable on with for and

MATHEMATICS · Subjective · AP · Calculus AB · Analytical Applications of Differentiation · Analytical Applications of Differentiation

Problem

Let

f

and

g

be differentiable on

[0,5]

with

f'(x)>g'(x)

for

0<x<5

and

f(0)=g(0)

. Explain what can be concluded about the sign of

f(x)-g(x)

for

0<x\le 5