GATE Civil Engineering (CE) 2022 Shift 2 Solved Paper
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Question : 36 of 65
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Consider the polynomial f(x) = x3 - 6x2 + 11x - 6 on the domain S given by 1 ≤ x ≤ 3. The first and second derivatives are f'(x) and f''(x).
Consider the following statements:
I. The given polynomial is zero at the boundary points x = 1 and x = 3.
II. There exists one local maxima of f(x) within the domain S.
III. The second derivative f''(x) > 0 throughout the domain S.
IV. There exists one local minima of f(x) within the domain S.
The correct option is:
Consider the following statements:
I. The given polynomial is zero at the boundary points x = 1 and x = 3.
II. There exists one local maxima of f(x) within the domain S.
III. The second derivative f''(x) > 0 throughout the domain S.
IV. There exists one local minima of f(x) within the domain S.
The correct option is:
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