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Proofs
If you have a theorem which you would like a proof of to be featured in this bank, please email it to me using the contact form.
\[\frac{d}{dx}\left(\frac{u}{v}\right)=\frac{v \frac{du}{dx}-u \frac{dv}{dx}}{v^2}\] \[\frac{d}{dx}(uv)=u \frac{dv}{dx}+v \frac{du}{dx}\] where u and v are functions of x.