If `y=sqrt(sinx+sqrt(sinx+sqrt(sinx+..... oo))),` then show that `dy/dx=cosx/(2y-1)`
Advertisement Remove all ads
Solution
`y=sqrt(sinx+sqrt(sinx+sqrt(sinx+..... oo)))`
Let `y=sqrt(sinx+y)`
`y^2=sinx+y `
Differentiat ing w.r.t.x,
`2y.dy/dx=cosx+dy/dx`
`dy/dx=cosx/(2y-1)`
Is there an error in this question or solution?
Advertisement Remove all ads
APPEARS IN
Advertisement Remove all ads
Advertisement Remove all ads