f ( x ) = ( x - 1 ) ^ { 1 / 3 } \text { is not differentiable at } x = – InterviewSolution

1.

f ( x ) = ( x - 1 ) ^ { 1 / 3 } \text { is not differentiable at } x = 1

Answer»

given f(x) = (x-1)⅓f'(x) = 1/3(x-1)-⅔ or f'(x) = 1/3(x-1)⅔

so at x = 1 , the denominator becomes 0. and the term becomes. 1/∞ , that is undifferentiable ..

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