Given that $y={{\cos }^{-1}}(3x-1)$, find an expression of \(\frac{\mathrm{d}y}{\mathrm{d}x}\

Question

Given that $y={{\cos }^{-1}}(3x-1)$, find an expression of $\frac{\mathrm{d}y}{\mathrm{d}x}$.

Accepted Answer

$-\sqrt{\frac{3}{x(2-3x)}}$

Techniques of Differentiation - Derivatives of Inverse Trigonometric Functions