Let for every real number

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

Problem

Let h(x)=min⁡{x,x2}h(x) = \min\{x, x^2\} for every real number xx. Then, which one of the following is true? *[IIT JEE 1998]* (1) hh is not continuous for all xx (2) hh is differentiable for all xx (3) h′(x)=1h'(x) = 1 for all xx (4) hh is not differentiable at two values of xx

Related theory

Browse the problem library