Let a,b∊R and f:R\toR be defined by f(x)=acos(|x^3-x|)+b|x|\sin(|x^3+x|). Then f is [JEE Adv 2016 P2]

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

Limits, Continuity and Differentiability

Section: Mathematics

Question : 33 of 51

Marks: +1, -0

Let a,b∊R and f:R→R be defined by f(x)=acos(|x3−x|)+b|x|sin(|x3+x|). Then f is

[JEE Adv 2016 P2]

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