MATHEMATICS · Multi correct · AP · Calculus AB · Differentiation: Definition and Fundamental Properties · Differentiation: Definition and Fundamental Properties
Problem
For f(x)=⎩⎨⎧−x−2π,−cosx,x−1,lnx,x≤−2π−2π<x≤00<x≤1x>1, which statements are correct?
(1) f(x) is continuous at x=−2π
(2) f(x) is not differentiable at x=0
(3) f(x) is differentiable at x=1
(4) f(x) is differentiable at x=−23