What are the derivatives of the inverse trigonometric functions? How do the domains of the derivatives compare with the domains of the functions? The inverse trigonometric functions are sin−1x, cos−1x, tan−1x, csc−1x, sec−1x, cot−1x

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What are the derivatives of the inverse trigonometric functions? How do the domains of the derivatives compare with the domains of the functions?    The inverse trigonometric functions are    sin−1x, cos−1x, tan−1x, csc−1x, sec−1x, cot−1x

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Show the derivatives of the inverse trigonometric function and the domains the derivative with the domain of the function as shown in below Table.functionf(x)f′(x)Domainoff(x)Domainoff′(x)sin−1⁡x11−x2−1≤x≤1∣x∣&amp;lt;1cos−1⁡x−11−x2−1≤x≤1∣x∣&amp;lt;1tan−1⁡x11+x2−∞≤x≤∞AllvalueofxinRcsc−1⁡x−1∣x∣x2−1−∞≤x≤∞∣x∣&amp;gt;1sec−1⁡x1∣x∣x2−1(−∞,−1]≤x≤[1,∞)∣x∣&amp;gt;1cot−1⁡x−11+x2(−∞,−1]≤x≤[1,∞)AllvalueofxinRThe derivatives of the inverse trigonometric functions sin−1x, cos−1x, tan−1x, csc−1x, sec−1x, cot−1x are shown.The domains of the derivative and the domain of the inverse trigonometric functions are shown.

What are the derivatives of the inverse trigonometric functions? How

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