CBSE Class 12 Mathematics Continuity And Differentiability Online Test Set A

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Question 1

Question

Let f(x)=|x| and g(x)=|x3| then

Answer
f(x) and g(x) both are continuous at x=0
f(x) and g(x) both are differentiable at x=0
f(x) is differentiable but g(x) is not differentiable at x=0
f(x) and g(x) both are not differentiable at x=0