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Consider the followinggraph of the function f(x) for -∞ < x < +∞: X₂ O y = f(x) X₂ Key values of x on the graph are labelled x1, x2, x3, x4 and x5. State the values of x at which the following are true: a) f'(x) = 0 b) f(x) = 0 State the intervals in which both of the following conditions are true: c) f'(x) > 0 and f"(x) > 0 d) f'(x) > 0 and f"(x) < 0 e) f'(x) < 0 and f"(x) > 0 f) f'(x) < 0 and f"(x) < 0

Consider the followinggraph of the function f(x) for -∞ < x < +∞: X₂ O y = f(x) X₂ Key values of x on the graph are labelled x1, x2, x3, x4 and x5. State the values of x at which the following are true: a) f'(x) = 0 b) f(x) = 0 State the intervals in which both of the following conditions are true: c) f'(x) > 0 and f"(x) > 0 d) f'(x) > 0 and f"(x) < 0 e) f'(x) < 0 and f"(x) > 0 f) f'(x) < 0 and f"(x) < 0

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Consider the followinggraph of the function f(x) for -∞ < x < +∞: y X₁ X₂ O y = f(x) X4 X's Key values of x on the graph are labelled x1, x2, x3, x4 and x5. State the values of x at which the following are true: a) f'(x) = 0 b) f"(x) = 0 State the intervals in which both of the following conditions are true: c) f'(x) > 0 and f"(x) > 0 d) f'(x) > 0 and f"(x) < 0 e) f'(x) < 0 and f"(x) > 0 f) f'(x) < 0 and f"(x) < 0
Transcribed Image Text:Consider the followinggraph of the function f(x) for -∞ < x < +∞: y X₁ X₂ O y = f(x) X4 X's Key values of x on the graph are labelled x1, x2, x3, x4 and x5. State the values of x at which the following are true: a) f'(x) = 0 b) f"(x) = 0 State the intervals in which both of the following conditions are true: c) f'(x) > 0 and f"(x) > 0 d) f'(x) > 0 and f"(x) < 0 e) f'(x) < 0 and f"(x) > 0 f) f'(x) < 0 and f"(x) < 0
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