AP

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

Problem

If f(x)=3(2x+3)2/3+2x+3f(x) = 3(2x+3)^{2/3} + 2x+3 , then (1) f(x)f(x) is continuous but not differentiable at x=−32x = -\frac{3}{2} (2) f(x)f(x) is differentiable at x=0x = 0 (3) f(x)f(x) is continuous at x=0x = 0 (4) f(x)f(x) is differentiable but not continuous at x=−32x = -\frac{3}{2}

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