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10 cards from this deck
Differentiate composite functions
One function's output used as another function's input
Function evaluated first
Function applied to result of inner function
dydx=dydu×dudx\frac{dy}{dx} = \frac{dy}{du} \times \frac{du}{dx}dxdy=dudy×dxdu
n[f(x)]n−1×f′(x)n[f(x)]^{n-1} \times f'(x)n[f(x)]n−1×f′(x)
Operation performed last
Differentiate outside × derivative of inside
Convert to index form first
Substitute back to express in terms of original variable
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