A function y=f(x) has a second order derivative f^ (x)=6(x-1) . If its graph passes…

Mathematics · JEE Main · NTA ExamsLimit, Continuity and Differentiability

A function \(y=f(x)\) has a second order derivative \(f^{\prime \prime}(x)=6(x-1)\). If its graph passes through the point \((2,1)\) and at that point the tangent to the graph is \(y=3 x-5\), then the function is :
  1. \((x-1)^{2}\)
  2. \((x-1)^{3}\)
  3. \((x+1)^{3}\)
  4. \((x+1)^{2}\)

Answer

(B) (x-1)^ 3

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