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Mathematics 6 Online
OpenStudy (anonymous):

Find:

OpenStudy (anonymous):

\[Find \frac{ dy }{ dx }: y=\sin (xy)\]

hartnn (hartnn):

know about chain and product rule ?

OpenStudy (anonymous):

oh Hii kinda :)

hartnn (hartnn):

so, can you tell me whats the derivative of xy with respect to x ?

OpenStudy (anonymous):

is it y + dy/dx * x ? lol sorry

hartnn (hartnn):

thats correct! using chain rule, dy/dx = d/dx (sin xy) = cos xy d/dx (xy) got this ? and you already have d/dx (xy) :)

OpenStudy (anonymous):

yeah? and that's the answer already? :O :)

hartnn (hartnn):

you need dy/dx, right ? there's dy/d on both sides, you need to isolate it.

hartnn (hartnn):

there's dy/dx on both sides***

OpenStudy (anonymous):

Im so sorry. there was a brownout in our neighborhood. But thanks, I already got it :)

hartnn (hartnn):

no problem :)

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