Multiple Choice Questions on A function f x x2 4 2 where x is real number then the function has ........ for NDA Exam Preparation

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Multiple Choice Questions

A function f x x2 4 2 where x is real number then the function has ........

Mathematics (NDA) Diffrentiation
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    A function f(x)= (x2  -4)2 where x is real number ,then the function has ?

    only one minimum

    Incorrect Answer

    three minima

    Incorrect Answer

    two maxima

    Incorrect Answer

    two minima

    Correct Answer
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    Explanation:

    F(x)=(x2  -4)2  

    F ‘(x)  =4x( x 2 -4)

    F ‘(x)=0

    X=0 ,x=2,x=-2

    F ‘’(x) =12x2   -16

    F’’(0)=-16  <0   maxima x=0

    F’’ (2)  =32  >0   minima x=2

    F’’(-2)  =32   >   minima x=-2

    By: bhavesh kumar singh
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