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JEE Main202125 Feb 2021Morning ShiftMathematicsContinuity and DifferentiabilityActual

The number of points, at which the function f x = 2 x + 1 - 3 x + 2 + x 2 + x - 2 , x ∈ R is not differentiable, is

Correct answer

2

Step-by-step solution

f x = 2 x + 1 - 3 x + 2 + x 2 + x - 2 = 2 x + 1 - 3 x + 2 + x + 2 x - 1 = 2 x + 1 + x + 2 x - 1 - 3 Critical points are x = - 1 2 , - 2 , - 1 but x = - 2 is making a zero twice in product so, points of non differentiability are x = - 1 2 and x = - 1 ∴ Number of points of non-differentiability = 2

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