Question

Differenciate √a+√x/√a-√x

Answer 1

y =(√a +√x)/(√a -√x)

differenciate wrt. to x

dy/dx ={ (√a -√x) d(√a +√x)/dx -(√a +√x)d(√a -√x)/dx }/(√a -√x)^2


={(√a - √x)(1/2√x) - (√a +√x)( -1/2√x)}/(√a-√x)^2

= 2√a/2√x/(√a -√x)^2

= { √(a/x).1/(√a -√x)^2 }