Let . Determine whether is differentiable at . Give the numerical value of if it…

MATHEMATICS · Subjective · AP · Calculus AB · Differentiation: Definition and Fundamental Properties · Differentiation: Definition and Fundamental Properties

Problem

Let g(x)=x2∣x−2∣g(x)=x^{2}|x-2|. Determine whether gg is differentiable at x=2x=2. Give the numerical value of g′(2)g'(2) if it exists, or state that it does not exist.

Related theory

Browse the problem library