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Derivatives of inverse trigonometric functions


Definition

The derivatives of the inverse trigonometric functions cover the process by which we find the derivative of the most common inverse trigonometric functions, including for example the arcsine, arccosine and arctangent functions.

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Problems Solved

Evaluate the integral $\int_2^4sec^{-1}\sqrt{t}dt$
$\frac{d}{dx}\left(arc\cos\left(\frac{x+1}{x-1}\right)\right)$
$\frac{d}{dx}\left(4x^3\left(x^2+4\right)\left(x+4\right)^2tan^{-1}\left(2x\right)\right)$
$\frac{d}{dx}\arctan\left(4x^2\right)$
Find the derivative $\frac{d}{dx}\left(x^2+\arctan\left(y\right)=y-1\right)$
Find the limit $\lim_{x\to0}\left(\frac{sin^{-1}x}{5x}\right)$
$\frac{d}{dx}\left(arcsin\left(\cos\left(x\right)\right)\right)$

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