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d/dx sinu =
cosu du
d/dx tanu =
sec^2u du
d/dx secu =
secu tanu du
d/dx cosu =
-sinu du
d/dx cotu =
-csc²u du
d/dx cscu =
-cscu cotu du
d/dx (ln(u)) =
1/u du
d/dx (e^u) =
e^u du
d/dx (e^x) =
e^x (itself)