Same chapter3 marksDifficulty: Medium
If y = xx, find dy/dx.
Continuity and Differentiability
3 marksDifficulty: Medium
Test the continuity of f(x) = |x| at x = 0, and state whether it is differentiable there.
Original Khojo Papers practice question — not from a past board paper.
Answer
It is continuous at x = 0 but not differentiable there.
No citable source has been recorded for this record. Treat it as practice material, not as fact.
Explanation
Both one-sided limits and the value are 0, so the function is continuous. The left-hand derivative is −1 and the right-hand derivative is +1, so the derivative does not exist.
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