The function $f (x) = 2 | x | + | x + 2 | - | | x + 2 | - 2 | x | |$ has a local minimum or a local maximum at x =

- 2

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\frac{- 2}{3}

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2

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\frac{2}{3}

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Solution

The correct options are
A $- 2$
B $\frac{- 2}{3}$

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Similar questions

The function $f (x) = 2 | x | + | x + 2 | - | | x + 2 | - 2 | x | |$
has a local minimum or a local maximum at x=

f (x) = 2 | x | + | x + 2 | - ∥ x + 2 | - 2 | x ∥

x =

f (x) = \frac{x}{2} + \frac{2}{x}

f (x) = 2 | x | + | x + 2 | - | | x + 2 | - 2 | x | |

x =

f (x) = \frac{x}{2} + \frac{2}{x}

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