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The number of points, where the function \mathrm{ f: \mathbf{R} \rightarrow \mathbf{R}, f(x)=|x-1| \cos |x-2| \sin |x-1|+(x-3)\left|x^{2}-5 x+4\right|}, is NOT differentiable, is :

Option: 1

1


Option: 2

2


Option: 3

3


Option: 4

4


Answers (1)

best_answer

\begin{aligned} & \mathrm{ f(x)=|x-1| \cos |x-2| \sin |x-1|+(x-3)\left|x^{2}-5 x+4\right|} \\ & \mathrm{=|x-1| \cos |x-2| \sin |x-1|+(x-3)|x-1| x-4 \mid }\\ & \mathrm{=|x-1| \operatorname{Esc}|x-2| \sin |x-1|+(x-3)|x-4|]}\\ &\text{Non differentiable at x=1 and x=4} \end{aligned}

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Ritika Jonwal

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