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JEE Math Practice Question

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

  1. A.$${\left( {x + 1} \right)^2}$$
  2. B.$${\left( {x - 1} \right)^3}$$
  3. C.$${\left( {x + 1} \right)^3}$$
  4. D.$${\left( {x - 1} \right)^2}$$

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