Products of functions

Products of functions

7 marks
TGM Original
Given y=(x - 2)2 e- x, find dydx. Find all zero-gradient inputs.

Solution:

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Answer:\(\dfrac{\mathrm{d}y}{\mathrm{d}x}=- \left(x - 2\right)^{2} e^{- x} + \left(2 x - 4\right) e^{- x}\) The zero-gradient inputs are \(x=2,4\).

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