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 frompositive when z < c to negative when r>c, then f(c) isO fis concave downO neither a local maximum nor a local minimum of fO local minimum of fO fis concavé uplocal maximum of f

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f be a continuous function over an interval 1 containing a critical point c and f is differentiable over 1, except possibly at poI ositive when z e, then f(c) is o fis concave down O neither a local maximum nor a local minimum of f O local minimum of f O fis concave up O local maximum of f

f be a continuous function over an interval 1 containing a critical point c and f is differentiable over 1, except possibly at poI ositive when z e, then f(c) is o fis concave down O neither a local maximum nor a local minimum of f O local minimum of f O fis concave up O local maximum of f

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter14: Discrete Dynamical Systems

Section14.3: Determining Stability

Problem 13E: Repeat the instruction of Exercise 11 for the function. f(x)=x3+x For part d, use i. a1=0.1 ii...

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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 z < c to negative when r>c, then f(c) is
O fis concave down
O neither a local maximum nor a local minimum of f
O local minimum of f
O fis concavé up
local maximum of f

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