Calculus: Find the derivative. y=cos2x/x^3
\[y \frac{ \cos2x }{ x ^{3} }\]
\[y=\cos2x * x ^{-3}\]
Nw Differemtiate
\[y =\frac{ \cos 2x }{ x ^{3} }\]
wouldn't divison rule be simpler?
Ok...Product oR Quotient Rule...
The negative exponent is all good to use the product rule byt it is not necessary! You could use the quotient rulw! Much easier!
ill use division rule :)
Do you know how to use the quotient rule @lilfayfay ?
yepp but i think division rulewould be much easier :)
Same thing!!
can we use division rule pls :)
\[\frac{ dy }{ dx }=\frac{ f \prime(x)g(x)-f(x)g \prime(x) }{ [g(x)]^{2} }\]if\[y =\frac{ f(x) }{ g(x) }\]Call it the quotient rule or call it the division rule. @lilfayfay they are the same thing!!
oh ok lol
so i worked out the problem and i almost got the same thing the answer is \[\frac{ -2xsin2x-3\cos2x }{ x ^{4} }\]
OK let's do this in baby steps. Step 1: Tell me the following: i). f(x) = ? ii). f '(x) = ? iii). g(x) = ? iv). g'(x) = ? v). [g(x)]² = ?
OH Is that your final answer? LOL @lilfayfay
yeah.. :P
sorry its late here for me kinda sleepy =w=
OH yeah your final answer is correct. I thought you were showing me the first step. Sorry.
no, but that wasn't my final answer, that was the answer I got from the back; I got a similar answer but a little bit off so can you tell me how you did urs pls? ^^
I'm am actually a teacher LOL. I don't give out answers. You show your work and I can tell you what you did right orr start by answering my question I asked.
Why did you delete it while I was checking?
OK you really want me to write out the steps?
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