As far as the derivative rules go, there wasn't anything new.
A consequence of now having the quotient rule is that we can now differentiate all six trig functions. You are now responsible for each of those derivatives:
d(sin x)/dx = cos x
d(tan x)/dx = (sec x)^2
d(sec x)/dx = sec x tan x
d(cos x)/dx = -sin x
d(cot x)/dx = -(csc x)^2
d(csc x)/dx = -csc x cot x
There is a nice pattern to the derivatives that should make it a little easier to memorize them. Better to have them learned sooner than later.
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