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Mathematics 27 Online
OpenStudy (anonymous):

how do I implicitly derive: xy^4+x^2y=x+3y

OpenStudy (isaiah.feynman):

Well differentiate as usual but when you differentiate y multiply by y prime.|dw:1384920126448:dw|

OpenStudy (anonymous):

Yes I know how to do implicit differentiation. But I'm just stuck on this problem. I took the derivitive in it's form and now I dont know how to get y' by itseld.

OpenStudy (isaiah.feynman):

Wow. I have not seen this situation before so I will solve alongside you.

OpenStudy (anonymous):

yeah it's ridiculous!

OpenStudy (anonymous):

wow. i figured it out. y'=(1-y^4-2xy)/(4xy^3+x^2-3)

OpenStudy (isaiah.feynman):

Lol. You spoiled my fun. But good for you!

OpenStudy (anonymous):

hey try it anyway. it takes awhile

OpenStudy (isaiah.feynman):

I'm done. I'm going to show you the calculation.

OpenStudy (isaiah.feynman):

OpenStudy (anonymous):

good job!

OpenStudy (isaiah.feynman):

Thanks. Tonight was better than last night for calculus!

OpenStudy (anonymous):

haha good

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