I don't really know how to do implicit differentiation. Could you show me how to do it with the equationy-sin(xy)=x²? Thanks!

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- Jan 10th 2010, 05:09 PMsuchgreatheightsImplicit Differentiation
I don't really know how to do implicit differentiation. Could you show me how to do it with the equation

**y-sin(xy)=x****²**? Thanks! - Jan 10th 2010, 05:41 PMmr fantastic
I assume the main trouble is to get (if it isn't then I suggest you go back and review the topic and then attempt some easier questions). First make the substitution and use the chain rule:

.

I assume you can use the product rule to get and then put it all together. - Jan 10th 2010, 06:27 PMsuchgreatheights
Ok I get that but where does the first y fit in? What would be the final answer?

- Jan 10th 2010, 06:32 PMmr fantastic