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Black Book Advanced Problems in MathematicsMathematicsApplication of Derivatives

A function y = f(x) has a second order derivative f''(x) = 6(x - 1) . 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 :

Options

  1. A(x - 1)^2
  2. B(x - 1)^3
  3. C(x + 1)^3
  4. D(x + 1)^2

Correct answer

B. (x - 1)^3

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