ok so this week we went over ap's from last week. we didn't take any this week, i'm pretty sure. i don't really remember because everyone was pretty much focused on state this weekend. haha
which congrats to alex, ryne, and john! great job. oh & i won a doorprize. WOOOOHHHHH. haha
Chain Rule:
you start from outside in. let's say you have cos(2x)
first take derivative of cos
then of multiply that by 2x
Product Rule:
copy the first x derivative of the second + copy the second x derivative of the first
Quotient Rule:
copy the bottom x derivative of the top - copy the top x derivative of the bottom/bottom ^2
so those are some derivative rules.
can someone go over the rules for simple derivatives.
like what is derivative of tan?
and sec?
csc?
cot?
all those weird ones that are rarely used. i get them mixed up a lot
like i think tan is sec^2
or sec is tan^2
i'm not really sure?
and csc is something like cscxtanx?
idk. someone please go over that for me
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DERIVATIVES:
ReplyDeletesin(x) ::: cos(x)
cos(x) ::: -sin(x)
tan(x) ::: sec^2(x)
sec(x) ::: sec(x)tan(x)
csc(x) ::: -csc(x)cot(x)
cot(x) ::: -csc^2(x)
**anything that starts with a C that you're taking the derivative of will be a negative...anything else a positive!
**tan and cot are the only ones that have the ^2 in the derivative