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JEE Main202229 Jul 2022Morning ShiftMathematicsContinuity and DifferentiabilityActual

The number of points, where the function f : R → R , f x = x - 1 cos x - 2 sin x - 1 + x - 3 x 2 - 5 x + 4 , is NOT differentiable, is

Options

  1. A1
  2. B2
  3. C3
  4. D4

Correct answer

B. 2

Step-by-step solution

Given, f x = x - 1 cos x - 2 sin x - 1 + x - 3 x 2 - 5 x + 4 = x - 1 cos x - 2 sin x - 1 + x - 3 x - 1 x - 4 = x - 1 cos x - 2 sin x - 1 + x - 3 x - 4 We know that modulus function is not differentiable at values where modulus function is zero So, we can say that function is non-differentiable at x = 1 and x = 4 .

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