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quotient rule
der of (u/v)= v*u’-v’*u
der of tan
sec²(x)
der of a^x
ln(a)*a^x
der of sec(x)
sec(x)tan(x)
der of cot(x)
-csc²(x)
der of arcsine
positive 1/(sqrt(1-x²)
arccosine
NEGATIVE 1/(sqrt(1-x²)
arctan
1/(1+x²)