Number of points where function f(x) defined as f:[0,2]πR,f(x)={3−∣∣cosx−21∣∣,∣∣sinx<21∣∣2+∣∣cosx+21∣∣,∣s∈x∣≥21 is non-differentiable is a. 2 b. 4 c. 6 d. 0

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Number of points where function $f (x)$ defined as $f : [0, 2] π R, f (x) = {3 - ∣ ∣ cos x - \frac{1}{2} ∣ ∣, ∣ ∣ sin x < \frac{1}{2} ∣ ∣ 2 + ∣ ∣ cos x + \frac{1}{2} ∣ ∣, ∣ s \in x ∣ \geq \frac{1}{2}$ is non-differentiable is a. 2 b. 4 c. 6 d. 0

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Number of points where function

f (x)

defined as

f : [0, 2] π R, f (x) = {3 - ∣ ∣ cos x - \frac{1}{2} ∣ ∣, ∣ ∣ sin x < \frac{1}{2} ∣ ∣ 2 + ∣ ∣ cos x + \frac{1}{2} ∣ ∣, ∣ s \in x ∣ \geq \frac{1}{2}

is non-differentiable is a. 2 b. 4 c. 6 d. 0

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Question Text

Number of points where function

f (x)

defined as

f : [0, 2] π R, f (x) = {3 - ∣ ∣ cos x - \frac{1}{2} ∣ ∣, ∣ ∣ sin x < \frac{1}{2} ∣ ∣ 2 + ∣ ∣ cos x + \frac{1}{2} ∣ ∣, ∣ s \in x ∣ \geq \frac{1}{2}

is non-differentiable is a. 2 b. 4 c. 6 d. 0