The number of points where the function $f (x) = m a x {| tan x |, | cos x |}$ is non-differentiable in the interval $(- π, π)$ are

4

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6

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3

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2

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Solution

The correct option is D $4$
Discontinuous at $\pm \frac{π}{2}$ and sharp corner at $x = α; β$
Hence, non-derivable at 4 points.

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