Application of Derivatives Part 3

Section: Mathematics

Question : 12 of 30

Marks: +1, -0

Let f:R⟶R be a function defined by f(x)=|x+2|−2|x|∣. If m is the number of points of local minima and n is the number of points of local maxima of f, then m+n is

[3 Apr 2025 Shift 2]

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\|−x−2+2x\|	x≤−2
\|x+2+2x\|	−2≤x≤0
\|x+2−2x\|	x≥0

\|−x−2+2x\|	x≤−2
\|x+2+2x\|	−2≤x≤0
\|x+2−2x\|	x≥0

\|x−2\|	x≤−2
\|3x+2\|	−2<x≤0
\|2−x\|	x>0