A differentiable function satisfies for all with

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

Problem

A differentiable function

f

satisfies

|f'(x)|\le 3

for all

x

with

0\le x\le 2

. If

f(0)=5

, determine the greatest possible value of

f(2)