Math miscellaneousHard
Question
The function f(x) = 2|x| + |x + 2|- ||x + 2| - 2|x|| has a local minimum or a local maximum at x =
Options
A.-2
B.
C.2
D.
Solution
f(x) = (a + b) - |b - a|
= 2 min (a, b)
where a = 2|x|, b = |x + 2|
∴ Local maxima and minima at x = -2,
= 2 min (a, b)where a = 2|x|, b = |x + 2|
∴ Local maxima and minima at x = -2,
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