Multiple Choice Questions on Function f x 2x3 3x2 36x 2 has maxima at ........ for NDA Exam Preparation

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Multiple Choice Questions

Function f x 2x3 3x2 36x 2 has maxima at ........

Mathematics (NDA) Diffrentiation
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    Function f(x)=2x3  -3x2 -36x +2 has maxima at?

    x=0 only

    Incorrect Answer

    at x=3

    Incorrect Answer

    x= -2

    Correct Answer

     x=- 2  and x=3

    Incorrect Answer
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    Explanation:

    f(x)=2x3  -3x2 -36x +2

    f ‘(x)=6 x2 -6x -36

    6x2 -6x -36  =0

    x2 –x  -6  =0

    x=3 or

    x= -2

    f ‘’(x)  =12 x -6

    f ‘’(3) =30  > 0   minima

    f ‘’(-2)  =-30  <0   maxima

    maxima at x= -2

    By: bhavesh kumar singh
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