$\"\"$

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Prove the formula for derivative of $\"\"$ .

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$\"\"$ .

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Consider $\"\"$

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Definition of inverse trigonometric function : $\"\"$ .

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$\"\"$ .

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Apply derivative on each side with respect to $\"\"$ .

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$\"\"$ .

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Chain rule of derivative: $\"\"$ .

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$\"\"$

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$\"\"$

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Trigonometric identities : $\"\"$ .

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Substitute $\"\"$ in the above equation.

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$\"\"$

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$\"\"$

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$\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$ .