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BITSAT2024MathematicsContinuity and DifferentiabilityActual

f(x)= array cc 4 & - x - 5 x^2-1 & - 5 x 5 4 & 5 x array . If k is the number of points where f(x) is not differentiable then k-2=

Options

  1. A2
  2. B1
  3. C0
  4. D3

Correct answer

C. 0

Step-by-step solution

Here f(x) is continous x R Now At x=- 5 L.H.D = 0 R.H.D =2 x=-2 5 f ( x ) is not differentiable at x =- 5 At x= 5 L.H.D. =2 x=2 5 R.H.D. =0 f ( x ) is not differentiable at x = 5 k =2k-2=2-2=0

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