Math Formulas || Limits and Derivaties || Inverse Trigonometric Derivatives

Math Formulas

Inverse Trigonometric Derivatives Formulas

$\dfrac{d}{dx} ~(\sin^{-1} x) = \dfrac{1}{ \sqrt{1-x^2} }$
$\dfrac{d}{dx} ~(\cos^{-1} x) = -\dfrac{1}{\sqrt{1-x^2}}$
$\dfrac{d}{dx}~ (\tan^{-1} x) = \dfrac{1}{1+x^2}$
$\dfrac{d}{dx} ~(\cot^{-1} x) = \dfrac{1}{1+x^2}$
$\dfrac{d}{dx}~ (\sec^{-1} x) = \dfrac{1}{|x|\sqrt{x^2-1}} $
$\dfrac{d}{dx}~ (\text{cosec}^{-1} x) = -\dfrac{1}{|x|\sqrt{x^2-1}} $