Derivatives of inverse trigonometric functions

Rarely Tested

$$\frac{d}{dx} (\sin^{-1} x) = \frac{1}{\sqrt{1-x^2}} \quad (-1 \lt x \lt 1)$$
$$\frac{d}{dx} (\tan^{-1} x) = \frac{1}{1+x^2}$$
Derivatives of arcsine and arctangent functions.
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