Three differentiable functions are defined by I

MATHEMATICS · Single correct · CBSE · Mathematics · Continuity and Differentiability · Continuity and Differentiability

Problem

Three differentiable functions are defined by I. y=(x−3)3+2y=(x-3)^3+2 II. y=3(x−3)2y=3(x-3)^2 III. y=6(x−3)y=6(x-3) Exactly one of the three is a twice-differentiable function ff, and the other two are its first and second derivatives. Which choice correctly identifies ff, f′f', and f′′f''? (a) I is f′f', II is f′′f'', III is ff (b) I is f′′f'', II is f′f', III is ff (c) I is ff, II is f′f', III is f′′f'' (d) I is ff, III is f′f', II is f′′f''

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