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

2

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3

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4

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5

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Solution

The correct option is C $4$

From the above graph the function is not differentiable at two points between $x = - \frac{π}{2}$ and $x = \frac{π}{2}$
and not continuous at $x = - \frac{π}{2}$ and $x = \frac{π}{2} .$
Hence, at $4$ points the function is not differentiable.

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The number of points where function f(x)=max{|tanx|,cos|x|} is non-differentiable in the interval (−π,π), is

The correct option is C 4 From the above graph the function is not differentiable at two points between x=−π2 and x=π2 and not continuous at x=−π2 and x=π2. Hence, at 4 points the function is not differentiable.

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

The correct option is C $4$

From the above graph the function is not differentiable at two points between $x = - \frac{π}{2}$ and $x = \frac{π}{2}$
and not continuous at $x = - \frac{π}{2}$ and $x = \frac{π}{2} .$
Hence, at $4$ points the function is not differentiable.