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  •  Let k and K be the minimum and the maximum    values    of    the    function <img alt="f\left ( x \right )=\frac{\left (

 Let k and K be the minimum and the maximum    values    of    the    function

f\left ( x \right )=\frac{\left ( 1+x \right )^{0.6}}{1+x^{0,6}}         in [0, 1] respectively, then the ordered pair (k, K) is equal to :

 

 

 

Option: 1

\left ( 1,\; 2^{0.6} \right )


Option: 2

\left ( 2^{-0.4},\; 2^{0.6} \right )


Option: 3

\left ( 2^{-0.6},\; 1 \right )


Option: 4

\left ( 2^{-0.4},\; 1 \right )


Answers (1)

best_answer

Use the concept of

Maxima Minima -

A functions graph follow up and down along x-axis then upper part is known as maxima and lower part is known as minima.

-

 

 Put x=0

 

f(0)=\frac{(170)^{0.6}}{170^{0.6}} =1

f(1)=\frac{(2)^{0.6}}{2} = 2^{-0.4}

= (2^{-0.4} ,1)

Posted by

jitender.kumar

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