A function has the following features on the interval : • a sharp corner at • a…
MATHEMATICS · Single correct · AP · Calculus AB · Differentiation: Definition and Fundamental Properties · Differentiation: Definition and Fundamental Properties
Problem
A function g has the following features on the interval (−6,6):
• a sharp corner at x=−1
• a vertical tangent at x=2
• a removable discontinuity at x=5
• no other singular behavior
At which of the following x–values is g NOT differentiable?
(a) x=−1 and x=2 only
(b) x=−1 and x=5 only
(c) x=−1,x=2, and x=5
(d) x=2 and x=5 only