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If x y=4 , prove that x((dy)/(dx)+y^2)=3...

If `x y=4` , prove that `x((dy)/(dx)+y^2)=3y`

Text Solution

Verified by Experts

Given that,
`x y=4`
`=>d/(dx)(xy)=d/(dx)(4)`
`=>x (dy)/(dx) +y=0`
`=>x (dy)/(dx)=-y`
also `xy^2=4y`
so,
`x((dy)/(dx)+y^2)=3y`
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RD SHARMA-DIFFERENTIATION-Solved Examples And Exercises
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  2. If y=sqrt(a^2-x^2) , prove that y(dy)/(dx)+x=0

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