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 + 1x - 1, x 1 and classify each using the first derivative sign test. Show the sign change at every point.

Solution:

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Answer:Local maximum at \(\left(1 - \sqrt{2},2 - 2 \sqrt{2}\right)\); Local minimum at \(\left(1 + \sqrt{2},2 + 2 \sqrt{2}\right)\).

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