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JEE Main20253 Apr 2025Evening ShiftMathematicsApplication of DerivativesActual

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

Options

  1. A5
  2. B3
  3. C2
  4. D4

Correct answer

B. 3

Step-by-step solution

f(x)= |x+2|-2| x | Critical points, 0,-2,2,- 2 3 No. of maxima =1 No. of minima =2 option (2)

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