tan x
sec^2 x
cot x
-csc^2 x
sec x
sec x tan x
csc x
-csc x cot x
log_a x
1 / (x ln a)
a^x
a^x ln a
arcsin x
1/sqrt(1 - x^2)
arccos x
-1/sqrt(1 - x^2)
arctan x
1/(1 + u^2)
arccot x
-1/(1 + x^2)
arcsec x
1 / ( abs(x) sqrt(x^2 - 1) )
arccsc x
-1 / ( abs(x) sqrt(x^2 - 1) )