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Increasing and decreasing intervals

Increasing and decreasing intervals

6 marks
TGM Original
State the open intervals on which y= x2 + 1x - 1 is increasing or decreasing, on the domain x 1. Justify your intervals using the derivative sign.

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Answer:Increasing for \(x<1-\sqrt2\) or \(x>1+\sqrt2\); decreasing for \(1-\sqrt2<x<1\) or \(1<x<1+\sqrt2\).

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