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merge to 삼각함수,trigonometric_function??

페이지가 안 쓰여서, 삼각함수+역삼각함수+쌍곡함수+역쌍곡함수 ¶

총정리표를 여기에

$(\sin x)'$	$(\csc x)'$	$\cos x$	$-\csc x\cot x$
$(\cos x)'$	$(\sec x)'$	$-\sin x$	$\sec x\tan x$
$(\tan x)'$	$(\cot x)'$	$\sec^2x$	$-\csc^2x$
$\int\sin xdx$	$\int\csc xdx$	$-\cos x$	$-\ln\|\csc x+\cot x\|$
$\int\cos xdx$	$\int\sec xdx$	$\sin x$	$\ln\|\sec x+\tan x\|$
$\int\tan xdx$	$\int\cot xdx$	$-\ln\|\cos x\|$	$\ln\|sin x\|$
$(\sin^{-1}x)'$	$(\csc^{-1}x)'$	$\frac1{\sqrt{1-x^2}}$	$\frac{-1}{\|x\|\sqrt{x^2-1}}$
$(\cos^{-1}x)'$	$(\sec^{-1}x)'$	$\frac{-1}{\sqrt{1-x^2}}$	$\frac1{\|x\|\sqrt{x^2-1}}$
$(\tan^{-1}x)'$	$(\cot^{-1}x)'$	$\frac1{1+x^2}$	$\frac{-1}{1+x^2}$
$\sinh^{-1}x$	${\rm csch}^{-1}x$	$\ln\left(x+\sqrt{x^2+1}\right)$
$\cosh^{-1}x$	${\rm sech}^{-1}x$	$\ln\left(x+\sqrt{x^2-1}\right),x\ge1$
$\tanh^{-1}x$	$\coth^{-1}x$	$\frac12\ln\left(\frac{1+x}{1-x}\right),-1<x<1$
$(\sinh x)'$	$({\rm csch}x)'$	$\cosh x$	$-\mathrm{csch}x \coth x$
$(\cosh x)'$	$({\rm sech}x)'$	$\sinh x$	$-\mathrm{sech}x \tanh x$
$(\tanh x)'$	$(\coth x)'$	$\mathrm{sech}^2 x$	$-\mathrm{csch}^2 x$
$(\sinh^{-1}x)'$	$({\rm csch}^{-1}x)'$	$\frac1{\sqrt{1+x^2}}$	$-\frac{1}{\|x\|\sqrt{x^2+1}}$
$(\cosh^{-1}x)'$	$({\rm sech}^{-1}x)'$	$\frac1{\sqrt{x^2-1}}$	$-\frac{1}{x\sqrt{1-x^2}}$
$(\tanh^{-1}x)'$	$(\coth^{-1}x)'$	$\frac1{1-x^2}$	$\frac{1}{1-x^2}$

관련 페이지:
삼각함수,trigonometric_function
역삼각함수,inverse_trigonometric_function
쌍곡선함수,hyperbolic_function
역쌍곡선함수,inverse_hyperbolic_function
삼각함수_미분표
삼각함수_적분표

Up: 기하학,geometry

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last modified 2021-04-04 21:42:01