Use the graph of f ' to (a) identify the critical numbers of f, and (b) determine whether f has a relative maximum, a relative minimum, or neither at each critical number.
Use the graph of f ' to (a) identify the critical numbers of f, and (b) determine whether f has a relative maximum, a relative minimum, or neither at each critical number.
Use the graph of f ' to (a) identify the critical numbers of f, and (b) determine whether f has a relative maximum, a relative minimum, or neither at each critical number.
Use the graph of f ' to (a) identify the critical numbers of f, and (b) determine whether f has a relative maximum, a relative minimum, or neither at each critical number.
Transcribed Image Text:smallest value
1200
largest value
1000
800
600
400
-6-5-4-3-2-10
200
3 4 5 6
critical number relative maximum relative minimum neither
Formula Formula A function f(x) attains a local maximum at x=a , if there exists a neighborhood (a−δ,a+δ) of a such that, f(x)<f(a), ∀ x∈(a−δ,a+δ),x≠a f(x)−f(a)<0, ∀ x∈(a−δ,a+δ),x≠a In such case, f(a) attains a local maximum value f(x) at x=a .
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