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JEE MATHEMATICS MCQ: DIFFERENTIATION

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The function f(x)=(x2−1)∣x2−3x+2∣+cos⁡(∣x∣)f(x)=\left(x^2-1\right)\left|x^2-3 x+2\right|+\cos (|x|) is not differentiable at
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Correct option: D
2
Option D (2) is correct because the function is not differentiable at x=2 due to the absolute value function changing its behavior at that point.

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