Question

first derivative of cosxcscx? I got a few steps down, but got stuck

Answer 1

cosx*cscx = tanx

So 1st derivative of tanx = Sec^2(x)

Answer 2

Oh, wow! I didn't even think of converting the original into tans and just went straight to differentiating it. I have a worksheet with a whole bunch of questions, could you help me out with a few I had trouble on, please?

Answer 3

actually cos x cscx = cos x/sin x = cot x
not tan x

Answer 4

oh sorry sorry

Answer 5

yes it is cotx

so 1st derivative of cotx = -csc^2(x)

Answer 6

no problem, and @aeri_k do you need to use product rule ?
if yes, then you cannot simplify it to cot x

Answer 7

Sorry @aeri_k and @hartnn

Answer 8

@lordcyborg no problem! Haha
product rule for this one? I don't believe so. I do know how to utilize product, quotient, and power rules. I just have a very hard time with differentiating because this is all trig, and our professor loves trig. But I don't have the greatest foundation. . and so I find myself confused as to what the next step should be :/

Answer 9

Trig just scares me, essentially

Answer 10

c'mon fight back trig

Answer 11

ok, if its not asked to use product rule , then you can simplify it to cot x and directly write its differentiation as -csc^2 x as @lordcyborg said.
and by the way,
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We can help you with your doubts, just one request, make new post for each question.

Answer 12

I took my math anal class as a soph in high school, and am now taking Calc as a freshman in college, HAHA. it's been much too long, and all the different identities are not helping