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## swin2013 2 years ago Find dy/dx

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1. swin2013

sin(xy) =2x+5 through Implicity

2. calculusfunctions

How much do you know or are able to do?

3. calculusfunctions

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

4. swin2013

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

5. calculusfunctions

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

6. swin2013

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

7. 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.

8. swin2013

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

9. calculusfunctions

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

10. swin2013

OH you distributed. ok i gotcha

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