Question

If we restrict the domain of cos to \([0, \pi]\) then the restricted domain cosine function will have an inverse. The range will be \([- 1, 1]\)

\(\frac{d}{dx} \cos^{- 1} (x) = - \frac{1}{\sqrt{1 - x^2}}\)

\(\left. \frac{d}{dx} \cos^{- 1} (0 x) \right|_{x = 1} =\)