Question

How do you find the derivative of `y=sqrt(x)/(1+sqrt(x))`?

Answer 1

Write this as follows

`y=(sqrtx+1-1)/(1+sqrtx)=1-1/(1+sqrtx)`

Hence

`dy/dx=(d(1+sqrtx)/dx)/[1+sqrtx]^2=1/[2*sqrtx*(1+sqrtx)^2]`