A differentiable function satisfies for all real

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

Problem

A differentiable function

w

satisfies

2\le w'(x)\le 5

for all real

x

. What is the smallest positive interval length

\Delta x

for which

w(x+\Delta x)-w(x)

could equal

13