Decide if x=7 is a critical number for f(x)=(x−7)^7. If so, state whether the point is a relative minimum, a relative maximum, or neither. Select your answer from one of the following options. a.It is a critical number where a maximum occurs. b.It is not a critical number. c.It is a critical number but not an extreme value. d.It is a critical number where a minimum occurs.
Decide if x=7 is a critical number for f(x)=(x−7)^7. If so, state whether the point is a relative minimum, a relative maximum, or neither. Select your answer from one of the following options. a.It is a critical number where a maximum occurs. b.It is not a critical number. c.It is a critical number but not an extreme value. d.It is a critical number where a minimum occurs.
Decide if x=7 is a critical number for f(x)=(x−7)^7. If so, state whether the point is a relative minimum, a relative maximum, or neither. Select your answer from one of the following options. a.It is a critical number where a maximum occurs. b.It is not a critical number. c.It is a critical number but not an extreme value. d.It is a critical number where a minimum occurs.
Decide if x=7 is a critical number for f(x)=(x−7)^7. If so, state whether the point is a relative minimum, a relative maximum, or neither.
Select your answer from one of the following options.
a.It is a critical number where a maximum occurs.
b.It is not a critical number.
c.It is a critical number but not an extreme value.
d.It is a critical number where a minimum occurs.
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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