Multiple Choice Questions on Find maxima and minima of f x 12 x4 3 6x1 3 in 1 1 ........ for NDA Exam Preparation

Back to Main Page

Multiple Choice Questions

Find maxima and minima of f x 12 x4 3 6x1 3 in 1 1 ........

Mathematics (NDA) Diffrentiation
    Download Solution PDF

    Find maxima and minima of f(x)=12 x4/3 -6x1/3  in[-1,1]  ?

    Maxima -1 and minima 1/8

    Correct Answer

    Minima 1/8 and maxima 1

    Incorrect Answer

    Maxima 1

    Incorrect Answer

    None of these

    Incorrect Answer
    छोटे Courses बड़े Results
    Master Diffrentiation
    Prepare through Micro-courses
    Try Now
    Explanation:

    f(x)=12 x4/3 -6x1/3 

    f’(x)=12(4/3)x1/3  -6 (1/3) x-2/3

    f’(x)=16  x1/3  -  2/x2/3

     =2(8x  -1)/x2/3

    F’(x)=0

    2(8x  -1)/x2/3   =0

    X=1/8

    1/8 in[1,-1]

    F(1/8 )= -9/4 

    F(0)=0

    F(1)=18 

    f(-1)=6

    Let's Discuss

    Master
    Diffrentiation
    With abhipedia
    Micro Courses
    Try Now
    What our students have to say
    Download Abhipedia Android App

    Access to prime resources

    Downlod from playstore
    download android app download android app for free

    Search on abhipedia