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secondary 4 | A Maths
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How to explain b?
Date Posted: 1 month ago
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answer for (b).
disagree. for -2 < x < 3, f"(x) actually decreases from some positive value to some negative value.
explanation ...
f''(x) gives the gradient of y = f'(x).
at x = -2, y = f(x) has a minimum point, with
f'(x) = 0, and f'(x) is increasing, so f''(x) > 0.
at x = 3, y = f(x) has a maximum point, with
f'(x) = 0, and f'(x) is decreasing, so f''(x) < 0.
disagree. for -2 < x < 3, f"(x) actually decreases from some positive value to some negative value.
explanation ...
f''(x) gives the gradient of y = f'(x).
at x = -2, y = f(x) has a minimum point, with
f'(x) = 0, and f'(x) is increasing, so f''(x) > 0.
at x = 3, y = f(x) has a maximum point, with
f'(x) = 0, and f'(x) is decreasing, so f''(x) < 0.
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