Up: [[수학,math]], [[기하학,geometry]]

WpEn:Trigonometry

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]]