Chain Rule with an Inverse Cosine Function

Question

Find the derivative of $$y=\arccos\left(\frac{x}{\sqrt{1+x^2}}\right)$$.

Accepted Answer

$$y'=-\frac{1}{1+x^2}$$

Answer

$$y'=\frac{1}{(1+x^2)^{3/2}}$$

Answer

$$y'=-\frac{1}{(1+x^2)^{3/2}}$$

Answer

$$y'=\frac{1}{1+x^2}$$