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Mathematics 15 Online
OpenStudy (anonymous):

xcos y-y =cosxy by implicit differentiation pls help!!

OpenStudy (aravindg):

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

OpenStudy (anonymous):

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

OpenStudy (aravindg):

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

OpenStudy (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..

OpenStudy (aravindg):

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

OpenStudy (anonymous):

example equation pls!!!

OpenStudy (callisto):

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

OpenStudy (anonymous):

-sin xyy`=-sin xyy` ?

OpenStudy (callisto):

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

OpenStudy (aravindg):

.......

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