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10 cards from this deck
dydx=dydu×dudx\frac{dy}{dx} = \frac{dy}{du} \times \frac{du}{dx}dxdy=dudy×dxdu where u=g(x)u = g(x)u=g(x)
dydx=udvdx+vdudx\frac{dy}{dx} = u\frac{dv}{dx} + v\frac{du}{dx}dxdy=udxdv+vdxdu
dydx=vdudx−udvdxv2\frac{dy}{dx} = \frac{v\frac{du}{dx} - u\frac{dv}{dx}}{v^2}dxdy=v2vdxdu−udxdv
For composite functions (function inside another function)
When two functions are multiplied together
When one function is divided by another
Work from outside in - differentiate outer function first
First × derivative of second + second × derivative of first
Bottom × top' - top × bottom', all over bottom squared
Identify the outermost operation in the function
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