Power of x.

c = 0

x = 1

xn = n x(n-1)

Exponential / Logarithmic

ex = ex

bx = bx ln(b)

ln(x) = 1/x

Trigonometric

sin x = cos x	csc x = -csc x cot x
cos x = - sin x	sec x = sec x tan x
tan x = sec2 x	cot x = - csc2 x

Inverse Trigonometric

arcsin x  =  1  (1 - x2)	arccsc x =  -1  |x| (x2 - 1)
arccos x =   -1  (1 - x2)	arcsec x =  1  |x| (x2 - 1)
arctan x =  1  1 + x2	arccot x =  -1  1 + x2

Hyperbolic

sinh x = cosh x	csch x = - coth x csch x
cosh x = sinh x	sech x = - tanh x sech x
tanh x = 1 - tanh2 x	coth  x = 1 - coth2 x