In ( 0, 2π ) , the total number of points where f(x) = max. \ sin...

( 0, 2\pi )

, the total number of points where

f\left(x\right) = max. \left\{sin x, cos x, 1 – cos x\right\}

is not differentiable, are equal to $In ( 0, 2π ) , the total number of points where f(x) = max. \ sin x, cos x, 1 – cos x\ is not differentiable, are equal$

Options

A $3$
B4
C5
D6

Correct answer

A. $3$

Step-by-step solution

The graph of

f\left(x\right) = max. \left\{sin x, cos x, 1 – cos x\right\}

is

$In ( 0, 2π ) , the total number of points where f(x) = max. \ sin x, cos x, 1 – cos x\ is not differentiable, are equal$

⇒f \left(x\right)

is not differentiable at

x = \dfrac{π}{4} , \dfrac{π}{2} , \dfrac{5\pi}{3}.

⇒f \left(x\right)

is not differentiable at

3

points

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