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Find dy/dx if y=sqrt([sinx+sqrt({sinx+s...

Find dy/dx if
`y=sqrt([sinx+sqrt({sinx+sqrt((sinx+.....)}])`

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`y=sqrt([sinx+sqrt({sinx+sqrt((sinx+.....)}])`
i.e., `y=sqrt(sinx+y)`
`implies y^2=sinx+y`
Differentiating both sides w.r.t. x, we get
`(2y)dy/dx=cosx+dy/dx
`implies(2y-1)dy/dx=cosx`
`impliesdy/dx=(cosx)/(2y-1)`
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MAHAVEER PUBLICATION-DIFFERENTIATION OR DERIVATIVE OF A FUNCTION-QUESTION BANK
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