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The function {f{{({x})}}}={2}{|{x}|}+{|{x}+{2}|}={|{|{x}|}{2}|

Question

The function $f (x) = 2 ∣ x ∣ + ∣ x + 2 ∣ = ∣ ∣ x ∣ 2 ∣ - 2 ∣ x ∣ ∣$ has a local minimum or a local maximum at $x =$ $- 2$ (b) $- \frac{2}{3}$ (c) 2 (d) $\frac{2}{3}$

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William Discussed

The function

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

has a local minimum or a local maximum at

x =

- 2

(b)

- \frac{2}{3}

\frac{2}{3}

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Question Text	The function $f (x) = 2 ∣ x ∣ + ∣ x + 2 ∣ = ∣ ∣ x ∣ 2 ∣ - 2 ∣ x ∣ ∣$ has a local minimum or a local maximum at $x =$ $- 2$ (b) $- \frac{2}{3}$ (c) 2 (d) $\frac{2}{3}$
Answer Type	Video solution: 1
Upvotes	150