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10 cards from this deck
Differentiate product of two functions
dydx=udvdx+vdudx\frac{dy}{dx} = u\frac{dv}{dx} + v\frac{du}{dx}dxdy=udxdv+vdxdu
First × deriv. of second + second × deriv. of first
NOT dudx⋅dvdx\frac{du}{dx} \cdot \frac{dv}{dx}dxdu⋅dxdv
First function
Second function
When expansion complicated or has composite functions
Simple products creating straightforward polynomials
Chain rule
Makes derivative cleaner and easier to work with
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