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10 cards from this deck
Composite function
Inside function
Outside function
dydx=dydu×dudx\frac{dy}{dx} = \frac{dy}{du} \times \frac{du}{dx}dxdy=dudy×dxdu
q′(x)=f′(g(x))⋅g′(x)q'(x) = f'(g(x)) \cdot g'(x)q′(x)=f′(g(x))⋅g′(x)
Derivative of outside × derivative of inside
ggg differentiable at xxx and fff differentiable at g(x)g(x)g(x)
Identify inside and outside functions
Efficient differentiation without expanding composite functions
u=x3+1u = x^3 + 1u=x3+1
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