Home
Class 12
MATHS
Let K be the set of all values of x, wh...

Let K be the set of all values of x, where the function ` f(x) = sin |x| - |x| + 2(x-pi) cos |x| ` is not differentiable.
Then, the set K is equal to

Text Solution

Verified by Experts

The correct Answer is:
0
Only critical point is `x =0`
` x lt 0 f (x) =- sin x +x + 2 ( x - pi) cos x`
`L.H.D. f (x) =-cos x +1 +2 cos x -2 (x - pi) sin x`
`f ('O') =-1 +1+2=2`
`x gt 0 f (x) = sin x-x + 2( x-pi) cos x`
`f(x) =cos x -1 + 2 cos x-2 (x-pi) sin x`
`f ('O') =2`
L.H.D. = R. H.D.
`therefore fx` is differentiable everywhere.
Promotional Banner

Similar Questions

Explore conceptually related problems

Set of value of x for which f(x)=sin|x|-|x|+2(x-pi)cos|x| is not differentiable is (A) phi (B) {0} (C) {0, pi} (D) {pi}

let S be the set of all points in (-pi,pi) at which the function , f(x) =min {sinx , cos x} is not differentiable Then S is a subset of which of the following ?

Let f(x) = 15 -|x-10|, x in R . Then, the set of all values of x, at which the function, g(x) = f(f(x)) is not differentiable, is

Let S be the set of point where the function f (x) = |4 - |2 - x|| is non differentiable the sum_(x in s) f (x) =

The set of all points, where the function f (x) = x/(1+|x|) is differentiable, is

The set of points where the function f(x)=|x-2| cos x is differentiable is