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The third derivative of a function f'''(...

The third derivative of a function `f'''(x)` vanishes for all `f(0)=1,f'(1)=2 and f''=-1,` then f(x) is equal to `(-3//2)x^2+3x+9`

A

`(-3/2)x^(2)+3x+9`

B

`(-1/2)x^(2)-3x+1`

C

`(-1/2)x^(2)+3x+1`

D

`(-3/2)x^(2)-7x+2`

Text Solution

Verified by Experts

The correct Answer is:
C
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