Let . The derivative of fails to exist…

MATHEMATICS · Single correct · AP · Calculus AB · Differentiation: Definition and Fundamental Properties · Differentiation: Definition and Fundamental Properties

Problem

Let f(x)={x2,x≤13x−2,x>1f(x)=\begin{cases} x^{2}, & x\le 1\\ 3x-2, & x>1 \end{cases}. The derivative of ff fails to exist at (a) no point (b) infinitely many points (c) exactly one point (d) exactly two points

Related theory

Browse the problem library