If y = √1+x / 1-x, then what is the value of dy/dx - Maths - Continuity and Differentiability

Question

If y = √1+x / 1-x, then what is the value of dy/dx

Varun.Rawat · Accepted Answer

We have,y = 1+x1-x⇒log y = log 1+x1-x1/2⇒log y = 12 log1+x1-x⇒log y = 12log1+x - log1-x⇒1ydydx = 1211+x + 11-x⇒dydx = y211+x + 11-x⇒dydx =12 1+x1-x11+x + 11-x

If y = √1+x / 1-x, then what is the value of dy/dx.