Math, asked by abhooshan, 1 year ago

give answer and prove.

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Answered by yashikant537

Here is your answer
Thank you

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abhooshan: prove that in given intervel function is decresing function

yashikant537: Given:

= =

= ……….(i)

Now

= 0

= 0

Here, is positive for all real

or [Turning points]

Therefore, or divide the real line into three sub intervals and

For , from eq. (i) at (say),

Therefore, is increasing at

For from eq. (i) at (say)

Therefore, is decreasing at

For from eq. (i) at (say),

Therefore, is increasing at

Therefore, is (i) an increasing function for and for and (ii) decreasing function for

abhooshan: what is this it is not clear see

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