Multiple Choice Questions on Given f x 2x3 9x2 12x 5 find the absolute maximum value of the function ........ for NDA Exam Preparation

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Multiple Choice Questions

Given f x 2x3 9x2 12x 5 find the absolute maximum value of the function ........

Mathematics (NDA) Diffrentiation
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    Given , f(x)=2x3 -9x2 +12x-5 find the absolute maximum value of the function?

    4

    Correct Answer

    -4

    Incorrect Answer

    2

    Incorrect Answer

    -2

    Incorrect Answer
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    Explanation:

    f(x)=2x3  -9x2 +12x-5

    f’(x)=6x2 -18x+12

    f’(x)=0

    6x2 -18x+12=0

    X2 -3x+2 =0

    X2 –x-2x+2

    x(x-1)-2(x-1)=0

    x=1

    x=2

    in [0,3]

    f(1)=0

    f(2)=-1

    f(0)= -5

    f(3)=4

    max value 4

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