Mathematics · Continuity and Differentiability
Let f(x) be a real-valued function defined by f(x) = 2xe1/(2x) - 3xe-1/(2x)e1/(2x) + 4e-1/(2x) for x ≠ 0, and f(0) = 0. Then which of the following is true?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1f is differentiable at x = 0
- 2f is not differentiable at x = 0✓
- 3f'(0-) = 2
- 4f'(0+) = -34
Correct answer
f is not differentiable at x = 0
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