Let f be a continuous function over an interval I containing a critical point c and f is differentiable over I, except possibly at point c. If f' changes sign from positive when a c, then f(c) is O local maximum of f O neither a local maximum nor a local minimum of f O fis concave up O local minimum of f O fis concave down

College Algebra (MindTap Course List)
12th Edition
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Author:R. David Gustafson, Jeff Hughes
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Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
Problem 99E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...
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Let f be a continuous function over an interval I containing a critical point c and f is differentiable over I, except possibly at point c. If f' changes sign from positive when a <c to
negative when >c, then f(c) is
O local maximum of f
O neither a local maximum nor a local minimum of f
O fis concave up
O local minimum of f
O fis concave down
Transcribed Image Text:Let f be a continuous function over an interval I containing a critical point c and f is differentiable over I, except possibly at point c. If f' changes sign from positive when a <c to negative when >c, then f(c) is O local maximum of f O neither a local maximum nor a local minimum of f O fis concave up O local minimum of f O fis concave down
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