Dave's Math Tables: Table Derivatives 

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  = 
sqrt(1 - x2)
 
arccsc x =  -1 
|x| sqrt(x2 - 1)
 
arccos x =   -1 
sqrt(1 - x2)
 
arcsec x = 
|x| sqrt(x2 - 1)
 
arctan x = 
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