Multiple Choice Questions on Given function f x x2 ex is at maxima for what value of x ........ for NDA Exam Preparation

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Multiple Choice Questions

Given function f x x2 ex is at maxima for what value of x ........

Mathematics (NDA) Diffrentiation
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    Given function f(x)=x2 ex is at maxima for what value of x?

    x=0

    Incorrect Answer

    x=2

    Correct Answer

    x=1

    Incorrect Answer

    x=-1

    Incorrect Answer
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    Explanation:

    f(x)=x2 ex  

    f ‘(x)  =x2 ex  +2x ex

    f’ (x)  =0

    x2 ex  +2x ex =0

    x=0 ,x=2 

    f ‘’ (x)  =e-x (2-2x)  +(2x  -x) -e -x

    = e -x (x 2 -4x  +2)

    F’’(0)  =2  positive

    X=0 minima

    F’’(2)  =-2  e -2  minus value

    X=2 maxima

    9

    By: bhavesh kumar singh
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