Find the derivative of d{(√x-1)/(√x+1)}/dx

Steps to solve Find the derivative of d{(√x-1)/(√x+1)}/dx

=d{(√x-1)/(√x+1)}/dx

=[(√x+1){d(√x-1)/dx}-(√x-1){d(√x+1)/dx}]/(√x+1)^2

=[(√x+1)(1/2√x)-(√x-1)(1/2√x)]/(√x+1)^2

={(√x+1)/2√x-(√x-1)/2√x}/(√x+1)^2

=(2/2√x){1/(√x+1)^2}

=1/{√x(√x+1)^2}

Hence the derivative of d{(√x-1)/(√x+1)}/dx is 1/{√x(√x+1)^2}

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