Calculation of Derivative.

Keyword

Derivative,Trigonometric function,Inverse trigonometric functions,Secant curve.

Reference

[1]:オーム社編:『機械工学公式集』,オーム社,pp.20,1960.

Remarks

・LaTeX: \frac{d}{dx}\textup{sec}^{-1}x=\frac{1}{x\sqrt{x^{2}-1}} \; ,\textup{sec}x=\frac{1}{\cos x}\; ,\\\textup{sec} ^{-1}\left ( \frac{h}{x}\right )=\frac{\pi }{2}-\sin^{-1}\left ( \frac{x}{h}\right )=\frac{\pi }{2}-\textup{cosec}^{-1}\left ( \frac{h}{x} \right )
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History

・2010/02/24:Upload.