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 x c, then f(c) is. O f is concave up O f is concave down local maximum of f neither a local maximum nor a local minimum of f O local minimum of f

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
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...
icon
Related questions
Question
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 x <c to negative when x > c, then
f(c) is.
O f is concave up
O f is concave down
local maximum of f
neither a local maximum nor a local
minimum of f
O local minimum of f
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 x <c to negative when x > c, then f(c) is. O f is concave up O f is concave down local maximum of f neither a local maximum nor a local minimum of f O local minimum of f
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Functions and Change: A Modeling Approach to Coll…
Functions and Change: A Modeling Approach to Coll…
Algebra
ISBN:
9781337111348
Author:
Bruce Crauder, Benny Evans, Alan Noell
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage