A function is differentiable on and satisfies for all in the interval

MATHEMATICS · Single correct · AP · Calculus BC · Applications of Integration · Applications of Integration

Problem

A function

f

is differentiable on

[0,2]

and satisfies

|f'(x)|\le 3

for all

x

in the interval. Which of the following is the best upper bound for the length of the graph of

y=f(x)

[0,2]

? (a)

8

(b)

2\sqrt{10}

(c)

6

(d)

2\sqrt{3}