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Question:

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

π

0

ϕ(anemptyset)

0,π

Solution:

Differentiability -Let f(x) be a real valued function defined on an open interval (a, b) and (a, b).Then the function f(x) is said to be differentiable at if-Checking differentiability at x=0for x>0,RHD =for x<0,LHD =LHD = RHDdifferentiable at x = 0 => differentiable everywhereSo, option 2 correct