MathematicsThe derivative of cos−1⁡2×2−1 w.r.t x at x=0 is

The derivative of $c {os}^{- 1} (2 x^{2} - 1) w.r.t x$ at x=0 is

Solution:

$\frac{d}{dx} [c {os}^{- 1} (2 x^{2} - 1)] = \frac{d}{dx} [2 {Cos}^{- 1} x] = \frac{- 2}{\sqrt{1 - x^{2}}}$

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