Mathematics · Continuity and Differentiability
Consider the function f(x) = x|x|. Which of the following statements is true regarding f(x) at the origin (x = 0)?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1It is neither continuous nor differentiable at the origin
- 2It is differentiable at the origin✓
- 3It is continuous but not differentiable at the origin
- 4It is not continuous at the origin
Correct answer
It is differentiable at the origin
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