What is ##\frac{d}{dx}(\frac{x}{y^2})##?(adsbygoogle = window.adsbygoogle || []).push({});

Please tell me is it correct or not:

##\frac{d}{dx}(\frac{x}{y^2}) = \frac{[\frac{d}{dx}(x)] ⋅ (y^2) - (x) ⋅ [\frac{d}{dx} (y^2)]}{(y^2)^2}##

## = \frac{(x) ⋅ (y^2) - (x) ⋅ (\frac{d}{dy} (y^2)) ⋅ \frac{dy}{dx}}{y^4}##

##= \frac{xy^2 - (x)(2y)(\frac{dy}{dx})}{y^4}##

##= \frac{xy^2 - 2xy(\frac{dy}{dx})}{y^4}##

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# B (ASK) Implicit Differentiation

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