The 3rd derivative of a function f(x) is zero,∀x, if f(0)=1,f1(1)=2,f11(1)=−1, then fx is 

The 3rd derivative of a function f(x) is zero,x, if f(0)=1,f1(1)=2,f11(1)=1, then fx is 

  1. A

    32x2+3x+9

  2. B

    12x23x+1

  3. C

    12x2+3x+1

  4. D

    32x27x+2

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    Solution:

    f111(x)=0

    On integrating f11(x)=c,f11(1)=cc=1

    f11(x)=1,f1(x)=x+d

    f1(1)=1+d=2,d=3

    f1(x)=3x

    f(x)=x22+3x+ef(0)=1e=1

    f(x)=x22+3x+1

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