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(sin x)’
cos x
(cos x)’
-sin x
(tan x)’
sec² x
(csc x)’
-csc x cot x
(sec x)’
sec x tan x
(cot x)’
-csc² x
(arcsinx)’
1 / √ 1 - x²
(arccosx)’
-1 / √ 1 - x²
(arctan)’
1 / 1 + x²
(lnx)’
1 / x or f’(x) / f(x)
(logx)’
1 / x lnb or f’(x) / f(x) * lnb (logbx = y)