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AP EAMCET · Maths · Continuity and Differentiability

If fx=Max3-x,3+x,6 is not differentiable at x=a, and x=b, then a+b=

  1. A 4
  2. B 5
  3. C 6
  4. D 8
Verified Solution

Answer & Solution

Correct Answer

(C) 6

Step-by-step Solution

Detailed explanation

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…