Inverse Trigonometric Differentiation

Reference > Calculus: Differentiation

Description

\(\frac{d}{dx} arcsin(x)=\frac{1}{\sqrt{1-{x}^{2}}}\)

\(\frac{d}{dx} arccos(x)=-\frac{1}{\sqrt{1-{x}^{2}}}\)

\(\frac{d}{dx} arctan(x)=\frac{1}{1+{x}^{2}}\)

\(\frac{d}{dx} arccsc(x)=-\frac{1}{|x|\sqrt{1-{x}^{2}}}\)

\(\frac{d}{dx} arcsec(x)=\frac{1}{|x|\sqrt{1-{x}^{2}}}\)

\(\frac{d}{dx} arccot(x)=-\frac{1}{1+{x}^{2}}\)

Examples
\[\frac{d}{dx} arcsin(x)\]
1
The derivative of \(arcsin(x)\) is \(\frac{1}{\sqrt{1-{x}^{2}}}\)
\[\frac{1}{\sqrt{1-{x}^{2}}}\]

Done