JEE Mains · Maths · STD 12 - 6. Application of derivatives
Let \(\mathrm{f}: \mathrm{R} \rightarrow \mathrm{R}\) 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
- A \(5\)
- B \(3\)
- C \(2\)
- D \(4\)
Answer & Solution
Correct Answer
(B) \(3\)
Step-by-step Solution
Detailed explanation
\(f(x)=\|x+2|-2| x\|\) Critical points, \(0,-2,2,-\frac{2}{3}\) No. of maxima \(=1\) No. of minima \(=2\) option (2)
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