AP

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

Problem

If f(x)=x(x−x+1)f(x) = x(\sqrt{x} - \sqrt{x+1}), then (a) f(x)f(x) is continuous but non-differentiable at x=0x = 0 (b) f(x)f(x) is differentiable at x=0x = 0 (c) f(x)f(x) is not differentiable at x=0x = 0 (d) None of these

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