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Square Root of a Complex Number

Differentiate...

Question

Differentiate ${cos}^{- 1} (1 - 2 x^{2})$ with respect to x, if $- 1 < x < 0$ .

0

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\frac{2}{\sqrt{1 - x^{2}}}

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\frac{2}{\sqrt{1 + x^{2}}}

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Solution

The correct option is C $\frac{2}{\sqrt{1 - x^{2}}}$

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Similar questions

y = {cos}^{- 1} (\frac{1 - x^{2}}{1 + x^{2}})

x, 0 < x < 1

\tan^{- 1} (\frac{2 x}{1 - x^{2}})

\cos^{- 1} (\frac{1 - x^{2}}{1 + x^{2}}), if 0 < x < 1

\sin^{- 1} (\frac{2 x}{1 + x^{2}})

\cos^{- 1} (\frac{1 - x^{2}}{1 + x^{2}}), if 0 < x < 1

y = {cos}^{- 1} (\frac{1 - x^{2}}{1 + x^{2}})

x, 0 < x < 1

x^{x} - 2^{sin x}

x

{tan}^{- 1} (\frac{\sqrt{1 - x^{2}}}{x})

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x \neq 0.

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