## anonymous 3 years ago xcos y-y =cosxy by implicit differentiation pls help!!

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1. AravindG

ok tell me where are you stuck in doing this question?

2. anonymous

i dont have no idea in solving that...its our assignment and it was not been discussed

3. AravindG

ok i suggest you differentiate both sides and bring y' to one side

4. Callisto

@jayshane We have to differentiate both sides. Hmm... shall we differentiate term by term? I think it would be easier for you to understand..

5. AravindG

keep in mind $\large \bf \text{differential of sum =sum of differentials }$

6. anonymous

example equation pls!!!

7. Callisto

Example: Differentiate a sinb with respect to a $\frac{d}{da}asinb=sinb\frac{d}{da}a + a\frac{d}{da}sinb =sinb + a(cosb)(b')$

8. anonymous

-sin xyy=-sin xyy ?

9. Callisto

For cosxy $\frac{d}{dx}cos(xy) = \frac{d}{du}cos(u) \times \frac{d}{dx}(xy)$u= xy$=-sinu \times (y\frac{d}{dx}x +x\frac{d}{dx}x)$$=...$

10. AravindG

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