Hi, here is my problem. I think it has something to do with me not completely understanding implicit differentiation.(adsbygoogle = window.adsbygoogle || []).push({});

I have to find [tex]\frac{dy}{dx}[/tex] of [tex]x^2+5yx+y^5=8[/tex]

To do this, I differentiated the [tex]x^2[/tex] as [tex]2x[/tex] then I used the product rule to differentiate [tex]5xy[/tex] into [tex]5y + \frac{dy}{dx} * 5x[/tex]. I differentiated [tex]y^5[/tex] via the chain rule into [tex]\frac{dy}{dx}*y^4[/tex]. My end result was

[tex]2x + 5y + \frac{dy}{dx} * 5x + \frac{dy}{dx} * y^4 = 0[/tex]

First of all, how do I solve for [tex]\frac{dy}{dx}[/tex]? Is it possible? If not, where did I go wrong?

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# Homework Help: Implicit Differentiation

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