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  4. The number of points where f(x)=|x2 - 3 |x| - 4| is non-differentiable is

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Q. The number of points where $f\left(x\right)=\left|x^{2} - 3 \left|x\right| - 4\right|$ is non-differentiable is

NTA AbhyasNTA Abhyas 2020Continuity and Differentiability

Solution:

Graph of $f\left(x\right)=\left|x^{2} - 3 \left|x\right| - 4\right|$ is
Solution
From the graph, we see that $f\left(x\right)$ is non-differentiable at $x=0,-4,4$