Mathematics · Calculus
According to Young's Theorem, let (a, b) be a point in the domain of a real-valued function f of two variables such that fx and fy exist in a certain neighborhood of (a, b) and fxy is continuous at (a, b). Then which of the following is true?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1fxx(a, b) = fy2(a, b)
- 2fxy(a, b) < fyx(a, b)
- 3fxy(a, b) = -fyx(a, b)
- 4fxy(a, b) = fyx(a, b)✓
Correct answer
fxy(a, b) = fyx(a, b)
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