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10 cards from this deck
F′(x)=f(x)⋅g′(x)+g(x)⋅f′(x)F'(x)=f(x)\cdot g'(x)+g(x)\cdot f'(x)F′(x)=f(x)⋅g′(x)+g(x)⋅f′(x)
dydx=udvdx+vdudx\frac{dy}{dx}=u\frac{dv}{dx}+v\frac{du}{dx}dxdy=udxdv+vdxdu
First×d(second)+second×d(first), then add
Cannot do this; must use product rule
When expansion isn't practical
Apply product rule repeatedly
Chain rule
Simplify by factoring common terms
2x⋅3x2=6x32x\cdot 3x^2=6x^32x⋅3x2=6x3 wrong; correct is 5x45x^45x4
First×deriv of second+second×deriv of first
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