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Limits Continuity and Differentiability question

2022 · 29 Jul · Shift 1 · Q38
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  5. /2022 · 29 Jul · Shift 1 · Q38

Limits Continuity and Differentiability question

2022 · 29 Jul · Shift 1 · Q38

JEE MainMathematicsLimits Continuity and DifferentiabilityMCQ+4 / −1
The number of points, where the function f:R→Rf: \mathbf{R} \rightarrow \mathbf{R}f:R→R, f(x)=∣x−1∣cos⁡∣x−2∣sin⁡∣x−1∣+(x−3)∣x2−5x+4∣f(x)=|x-1| \cos |x-2| \sin |x-1|+(x-3)\left|x^{2}-5 x+4\right|f(x)=∣x−1∣cos∣x−2∣sin∣x−1∣+(x−3)​x2−5x+4​, is NOT differentiable, is :
  1. A
    1
  2. B
    2
  3. C
    3
  4. D
    4
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