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AP EAMCET20224 Jul 2022Morning ShiftMathematicsContinuity and DifferentiabilityActual

If f x = Max 3 - x , 3 + x , 6 is not differentiable at x = a , and x = b , then a + b =

Options

  1. A4
  2. B5
  3. C6
  4. D8

Correct answer

C. 6

Step-by-step solution

Plotting the diagram of the given function we have, Now we see by diagram that maximum function is shaded by lines and between x ≡ - 3 , 3 y = 6 is maximum, And we also know that in sharp corner function is non-differentiable, So at x = - 3   &   x = 3 function is non-differentiable, So, - 3 + 3 = 6

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