Multiple Choice Questions on Find the nature of the function f x x3 6x2 15x 18 ........ for NDA Exam Preparation

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Multiple Choice Questions

Find the nature of the function f x x3 6x2 15x 18 ........

Mathematics (NDA) Diffrentiation
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     Find the nature of the function f(x)=x3 -6x2 +15x -18 ?

    Strictly increasing

    Correct Answer

    Increasing

    Incorrect Answer

    Decreasing

    Incorrect Answer

    None of these

    Incorrect Answer
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    Explanation:

    f(x)=x3 -6x2 +15x -18 

    f’ (x)=3x2  -12x+15

     =3 [(x-2)2+1] { (x-2)2 is positive}

    F’(x)>0 x ?  R

    F(x)  is strictly increasing function

    By: bhavesh kumar singh
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