Stationary points and the first derivative test

Stationary points and the first derivative test

6 marks
TGM Original
Find the stationary points of y=x2 e- x and classify each using the first derivative sign test. Show the sign change at every point.

Solution:

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Answer:Local minimum at \(\left(0,0\right)\); Local maximum at \(\left(2,\dfrac{4}{e^{2}}\right)\).

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