find the critical points, x*, for the following function, and for each critical point specify if it is a maximum, a mini mum, or an inflexion point: 3 2 X +1 2 f(x)

ENGR.ECONOMIC ANALYSIS
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Chapter1: Making Economics Decisions
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please answer the following question with work shown thanks! 

4) Tor any funchion fcx), the solutions to the eguation
f'(6) =0
critical point.
give the values of x where fCx) has a
A critical point, x',
flam)
is a maximum if
f(x*) <o
(max),
a minimum if
f"(x *) >o (min),
or an inflexion point
if
f'(x*) = o
points, x*, for the following
function, and for earh critical point specify if it is a
(inflection)
find the critical
maximum,
a mini mum,
an inflexion point :
or
3
f(x) = ā
2
X +1
Transcribed Image Text:4) Tor any funchion fcx), the solutions to the eguation f'(6) =0 critical point. give the values of x where fCx) has a A critical point, x', flam) is a maximum if f(x*) <o (max), a minimum if f"(x *) >o (min), or an inflexion point if f'(x*) = o points, x*, for the following function, and for earh critical point specify if it is a (inflection) find the critical maximum, a mini mum, an inflexion point : or 3 f(x) = ā 2 X +1
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