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Mathematics · 2022

JEE Main · 29 July 2022, Shift 1 · Q18

The number of points, where the function f: R → R, f(x)=|x-1| cos |x-2| sin |x-1|+(x-3)|x^2-5 x+4|, is NOT differentiable, is:

The number of points, where the function $\displaystyle f: \mathbf{R} \rightarrow \mathbf{R}$, $\displaystyle f(x)=|x-1| \cos |x-2| \sin |x-1|+(x-3)\left|x^2-5 x+4\right|$, is NOT differentiable, is :
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JEE Main 2022 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.