Multiple Choice Questions on If f x x3 9x2 24x 5 then find the absolute maximum value in 0 4 ........ for NDA Exam Preparation

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Multiple Choice Questions

If f x x3 9x2 24x 5 then find the absolute maximum value in 0 4 ........

Mathematics (NDA) Diffrentiation
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    If f(x)=x3 -9x2 +24x-5 then find the absolute maximum value in[0,4]?

    10

    Correct Answer

    15

    Incorrect Answer

    18

    Incorrect Answer

    20

    Incorrect Answer
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    Explanation:

    f(x)=x3  -9x2 +24x-5

    f’(x)=3x2 -18x+24

    f’(x)=0

    3x2 -18x+24=0

    X2 -6x+8 =0

    X2 –2x-4x+8=0

    x(x-2)-4(x-2)=0

    x=2

    x=4

    in [0,4]

    f(0)=-5

    f(1)=11

    f(2)=15

    f(3)= 13

    f(4)=11

    max value 15

    By: bhavesh kumar singh
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