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A function y=f(x) has a second order der...

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

A

`(x-1)^(2)`

B

`(x-1)^(3)`

C

`(x+1)^(3)`

D

`(x+1)^(2)`

Text Solution

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The correct Answer is:
B
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Knowledge Check

  • 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 the point, the tangent to the graph is y = 3x - 5, then the function is

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

  • A function y = f(x) has a second-order derivative f''(x) =6(x-1). If its graph passed through the point (2,1) and at that point tangent to the graph is y=3x-5, then the value of f(0) is

    A
    1
    B
    `-1`
    C
    2
    D
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  • A function y = f ( x) has a second order derivative f''(x) = 6 (x-1). If the graph passes through the point (2, 1) and at this point tangent to the graph is y = 3x - 1, then function is :

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    `(x-1)^3`
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