Mathematics · Calculus
If f: R → R is a function given by f(x) = { x4 + 3x2 + 5 for x ≤ 0; x4 + 5 for x > 0 }, then which statement is correct?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1f'''(0) does not exist✓
- 2f''(x) = 0 for all x ∈ R
- 3f''(x) = 0 for all x ∈ R \ {0}
- 4f''(0) exists
Correct answer
f'''(0) does not exist
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