(adsbygoogle = window.adsbygoogle || []).push({}); differentiating for "y"

1. The problem statement, all variables and given/known data

I don't quite understand the reason why one can [itex]\frac{d}{dx}[/itex] y^{2}and get 2y [itex]\frac{dy}{dx}[/itex] when using implicit differentiation. Why can one even go as far as to change y^{2}to 2y?

2. Relevant equations

3. The attempt at a solution

I see the chain rule is applied, I just would like to have a good understanding as to why differentiating y^{2}gives 2y [itex]\frac{dy}{dx}[/itex] when using implicit differentiation

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Differentiating for y

**Physics Forums | Science Articles, Homework Help, Discussion**