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  • If y = 1 / (1+x^b-a +x^ c-a ) + 1/1+(x^a-b +x^c-b )+ 1/ (1+x^a-c+x^b-c) then dy /dx= ?

If y = 1 / (1+x^b-a +x^ c-a ) + 1/1+(x^a-b +x^c-b )+ 1/ (1+x^a-c+x^b-c) then dy /dx= ?

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Solution:   We have , 

        \ \ y=frac11+x^b-a+x^c-a+frac11+x^a-b+x^c-b+frac11+x^a-c+x^b-c\ \ y=fracx^ax^a+x^b+x^c+fracx^bx^a+x^b+x^c+fracx^ax^c+x^b+x^c=fracx^a+x^b+x^cx^a+x^b+x^c=1

Differentiate w.r.t hspace0.2cmx  , we get 

  herefore hspace1cmfracmathrmd ymathrmd x=0

Posted by

Deependra Verma

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