Differentiate this: y=sin(6x)*cos(9x)
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Differentiate this: y=sin(6x)*cos(9x)

[From: ] [author: ] [Date: 11-09-01] [Hit: ]
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thx for your help! will rate answers!

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using the product rule

y'(x)= cos 9x[d/dx sin(6x)]+sin6x[d/dx cos9x]

then applying the chain rule

y'(x)=cos 9x* (cos 6x*[d/dx 6x])-sin6x*(sin9x(d/dx 9x))

simplifying we get

Answer: y'(x)= 6cos9x*cos6x - 9sin6x*sin9x

If you are having some trouble with derivatives I would strongly recommend watching some videos on youtube, they helped me out a lot when I was first learning this. Hope it makes sense!
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