A piecewise linear function is modeled by straight-line segments that join the points , ,
MATHEMATICS · Multi-part · AP · Calculus AB · Differentiation: Definition and Fundamental Properties · Differentiation: Definition and Fundamental Properties
Problem
A piecewise linear function p is modeled by straight-line segments that join the points (−4,1), (−1,1), (2,−2), and (5,−2). Axes are scaled in units of one.
For each part below, evaluate p′(x) at the specified value of x, or state that the derivative does not exist. Provide a brief justification.
(a) x=−3
(b) x=−1
(c) x=0
(d) x=2
(e) x=4