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Mathematics 19 Online
OpenStudy (anonymous):

Find dy/dx

OpenStudy (anonymous):

sin(xy) =2x+5 through Implicity

OpenStudy (calculusfunctions):

How much do you know or are able to do?

OpenStudy (calculusfunctions):

@swin2013 do you plan on answering me or do you not want my help?

OpenStudy (anonymous):

i had to attend to other businesses. cos(xy) *(y+x*dy/dx) = 2

OpenStudy (calculusfunctions):

Correct! So you do know! Now solve for dy/dx.

OpenStudy (anonymous):

ok... i did it right. i thought i did it wrong lol

OpenStudy (calculusfunctions):

Yes you differentiated correctly but now you should express dy/dx in term s of x and y. In other words, isolate dy/dx.

OpenStudy (anonymous):

i got 2 - cosxy *y / -x = dy/dx

OpenStudy (calculusfunctions):

No, if\[(y +x \frac{ dy }{ dx })\cos (xy)=2\]then\[y \cos (xy)+x \cos (xy)\frac{ dy }{ dx }=2\] \[x \cos (xy)\frac{ dy }{ dx }=2-y \cos (xy)\] \[\frac{ dy }{ dx }=\frac{ 2-\cos (xy) }{ x \cos (xy) }\]

OpenStudy (anonymous):

OH you distributed. ok i gotcha

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