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Differentiability

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By Expert Faculty of Sri Chaitanya
Question

The number of points of non-differentiability of function f(x)=maxsin1|sinx|,cos1|sinx|,0<x<2π , is ______ .

Moderate
Solution

sin1|sinx| is periodic with period π


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f(x)=x1+(lnx)(lnx)x[1,3] is non-differentiable at x= k. Then the value of [k2] is (where [.] represents the greatest integer function

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