The second derivative test
The second derivative test
6 marks
TGM Original
Find and classify the stationary points of y=x2 e- x. Use the second derivative test wherever conclusive; if it is inconclusive, justify the nature by the first derivative test.
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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