JEE Advanced 2016 Paper 2 Mathematics Q8

Mathematics

Problem

Let a,b∈Ra,b\in\mathbb R and f:R→Rf:\mathbb R\to\mathbb R be defined by f(x)=acos⁡(∣x3−x∣)+b∣x∣sin⁡(∣x3+x∣)f(x)=a\cos(|x^3-x|)+b|x|\sin(|x^3+x|). Then ff is

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