The second derivative test

The second derivative test

6 marks
TGM Original
Find and classify the stationary points of y=x3 - 6 x2 + 9 x + 1. 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 maximum at \(\left(1,5\right)\); Local minimum at \(\left(3,1\right)\).

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