A function is continuous on and differentiable on

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

Problem

A function

f

is continuous on

[1,4]

and differentiable on

(1,4)

. If

|f'(x)|\le 3

for all

x

(1,4)

, what is the greatest possible value of

|f(4)-f(1)|

? (a)

12

(b)

9

(c)

3

(d)

6