MathematicsMedium179×since 2002Q4176Let f\left( x \right) = \left\{ {\matrix{ {\left( {x - 1} \right)\sin {1 \over {x - 1}}} & {if\,x \ne 1} \cr 0 & {if\,x = 1} \cr } } \right. Then which one of the following is true?Afff is neither differentiable at x = 0 nor at x = 1Bfff is differentiable at x = 0 and at x = 1Cfff is differentiable at x = 0 but not at x = 1Dfff is differentiable at x = 1 but not at x = 0Check answerSkip