The function

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

Problem

The function f(x)=1−1−x2f(x) = \sqrt{1 - \sqrt{1 - x^2}} (1) has its domain −1≤x≤1-1 \le x \le 1 (2) has finite one sided derivatives at the point x=0x = 0 (3) is continuous and differentiable at x=0x = 0 (4) is continuous but not differentiable at x=0x = 0

Related theory

Browse the problem library