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Find the derivative:

y = cos-1(3x - 1)

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1 Answer

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\(\frac{dy}{dx} = \frac{d}{dx} cos^{-1}(3x-1)\)

\(= \frac{-1}{\sqrt{1-(3x - 1)^2}}\frac d{dx}(3x - 1)\)

\(= \frac{-3}{\sqrt{1 - (9x^2 - 6x + 1)}}\)

\(= \frac {-3}{\sqrt{6x - 9x^2}}\)

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