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tanx
sec²x
secx
secxtanx
cotx
-csc²x
cscx
-cscxcotx
lim to zero sinx/x
1
lim to zero tanx/x
1
lim to zero (cosx-1)/x
0
quotient rule
(fprime(x)g(x)-f(x)gprime(x))/g(x)²