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If sec((x+y)/(x-y))=a,p rov et h a t(dy)...

If `sec((x+y)/(x-y))=a,p rov et h a t(dy)/(dx)=y/xdot`

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Given `sec ((x-y)/(x+y)) = a`
`(x-y)/(x+y) = sec^(-1) a`
Differentiate w.r.t.x
`[(x+y)(1-dy/dx) – (x-y)(1+dy/dx)]/(x+y)^2 = 0`
`(x+y)(1-dy/dx) – (x-y)(1+dy/dx) = 0`
...
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