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10 questions from this quiz
For products of two functions
dydx=udvdx+vdudx\frac{dy}{dx} = u\frac{dv}{dx} + v\frac{du}{dx}dxdy=udxdv+vdxdu
First × deriv of 2nd + 2nd × deriv of 1st
ddx[u⋅v]≠dudx⋅dvdx\frac{d}{dx}[u \cdot v] \neq \frac{du}{dx} \cdot \frac{dv}{dx}dxd[u⋅v]=dxdu⋅dxdv
Identify the two functions uuu and vvv
For simple products creating easy polynomials
6x+146x + 146x+14
Chain rule
Makes derivative cleaner and easier to use
dudx\frac{du}{dx}dxdu and dvdx\frac{dv}{dx}dxdv
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