If $$f(x) = \left\{ {\matrix{ {\int\limits_0^x {\left( {5 + \left| {1 - t} \right|} \right)dt,} } & {x > 2} \cr {5x + 1,} & {x \le 2} \cr } } \right.$$, then

Question

f(x) is not continuous at x = 2

f(x) is everywhere differentiable

f(x) is continuous but not differentiable at x = 2

f(x) is not differentiable at x = 1

Solution

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