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Natural exponential derivatives

Natural exponential derivatives

7 marks
TGM Original
Given y=- x2 + ex2, find dydx. Hence find its value at x=0. Find all inputs where the derivative is zero.

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Answer:\(\dfrac{\mathrm{d}y}{\mathrm{d}x}=2 x e^{x^{2}} - 2 x\); at \(x=0\), \(0\). The only zero-gradient input is \(x=0\).

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