Let $y=\arccos(2x-1)$. Find $\frac{\mathrm dy}{\mathrm dx}$ and state the interval on which the

Question

Let $y=\arccos(2x-1)$. Find $\frac{\mathrm dy}{\mathrm dx}$ and state the interval on which the derivative exists.

Accepted Answer

$-\frac1{\sqrt{x(1-x)}},\ 0<x<1$

Arc cosine composite and its domain