Mathematics · Differential Calculus
Assertion (A): A function f(x) has a local maximum at x = a if f'(a) = 0 and f''(a) < 0. Reason (R): The sufficient second-order condition for a maximum requires the Hessian matrix (or second derivative in single variable) to be negative definite at the critical point.
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- 1(A) is incorrect but (R) is correct
- 2(A) is correct but (R) is incorrect
- 3Both (A) and (R) are correct but (R) is NOT the correct explanation of (A)
- 4Both (A) and (R) are correct and (R) is the correct explanation of (A)✓
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Both (A) and (R) are correct and (R) is the correct explanation of (A)
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