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differentiation formulas

(d/dx) (a u) = a du/dxequation 1
(d/dx) (u +- v) = du/dx +- dv/dxequation 2
(d/dx) (u v) = u dv/dx + du/dx vequation 3
(d/dx) (u/v) = (v du/dx - u dv/dx)/v2equation 4
(d/dxa = 0equation 5
(d/dxx = 1equation 6
(d/dxxn = n xn - 1equation 7
(d/dxx1/2 = (1/2) x-1/2equation 8
(d/dx) |x| = x/|x|, x != 0equation 9
(d/dxex = exequation 10
(d/dx) ln x = 1/xequation 11
Trigonometry.
(d/dx) sin x = cos xequation 12
(d/dx) cos x = -sin xequation 13
(d/dx) tan x = sec2 xequation 14
(d/dx) cot x = -csc2 xequation 15
(d/dx) sec x = sec x tan xequation 16
(d/dx) csc x = -csc x cot xequation 17
(d/dx) arcsin x = 1/(1 - x2)1/2equation 18
(d/dx) arccos x = -1/(1 - x2)1/2equation 19
(d/dx) arctan x = 1/(1 + x2)equation 20
(d/dx) arccot x = -1/(1 + x2)equation 21
(d/dx) arcsec x = 1/[|x| (x2 - 1)1/2]equation 22
(d/dx) arccsc x = -1/[|x| (x2 - 1)1/2]equation 23
Hyperbolic trigonometry.
(d/dx) sinh x = cosh xequation 24
(d/dx) cosh x = sinh xequation 25
(d/dx) tanh x = sech2 xequation 26
(d/dx) coth x = -csch2 xequation 27
(d/dx) sech x = -sech x tanh xequation 28
(d/dx) csch x = -csch x coth xequation 29
(d/dx) arcsinh x = 1/(x2 + 1)1/2equation 30
(d/dx) arccosh x = 1/(x2 - 1)1/2equation 31
(d/dx) arctanh x = 1/(1 - x2)equation 32
(d/dx) arccoth x = 1/(1 - x2)equation 33
(d/dx) arcsech x = -1/[x (1 - x2)1/2]equation 34
(d/dx) arccsch x = -1/[|x| (1 + x2)1/2]

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