Question
Discuss the continuity and differntiability of f(x) = |log |x||.
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Answer
f(x) = |log |x||
Since, it is an absolute function. So, it is continuous function. The graph of the function is as below:-
From the graph, it is clear that f(x) is not differentiable at x = -1, 1 but continuous for all x.
Since, it is an absolute function. So, it is continuous function. The graph of the function is as below:-
From the graph, it is clear that f(x) is not differentiable at x = -1, 1 but continuous for all x.
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