JEE Advanced 2013 Paper 2 Mathematics Q4

Mathematics

Problem

The function f(x)=2∣x∣+∣x+2∣−∣∣x+2∣−2∣x∣∣f(x)=2|x|+|x+2|-\bigl||x+2|-2|x|\bigr| has a local minimum or a local maximum at xx =

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