# Question #8fa40

$\frac{\frac{1}{2 \sqrt{x}} \left(\sqrt{x}\right) - \frac{1}{2 \sqrt{x}} \sqrt{x + 1}}{x}$
We use the quotient and chain rule for this, As well as the Power. We see that a function defined as $\sqrt{x + 1}$ is divided by $x$. We differentiate the first function and multiply it by the second. Then subtract the derivative of the second multiplied by the first. This binomial is then divided by the second function squared.