Let a , b ∈ R and f : R → R be defined by f ( x ) = a cos(| x 3 – x |) + b | x | sin(| x…
Mathematics · JEE Advanced · NTA Exams — Limit, Continuity and Differentiability
Let a, b ∈ R and f : R → R be defined by
f (x) = acos(|x3 – x|) + b|x| sin(|x3 + x|). Then f is
f (x) = acos(|x3 – x|) + b|x| sin(|x3 + x|). Then f is
- differentiable at x = 0 if a = 0 and b = 1
- differentiable at x = 1 if a = 1 and b = 0
- not differentiable at x = 0 if a = 1 and b = 0
- not differentiable at x = 1 if a = 1 and b = 1
Answer
(C) not differentiable at x = 0 if a = 1 and b = 0
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