Answer:
relative minimum
Step-by-step explanation:
From f^''(x) = 12x we can take the integration to find out what f'(x) is:
Furthermore, we can substitute x = 1 for f''(x) to find out whether it's positive or negative
f''(1) = 12*1 = 12 > 0
So if x=1 is a critical point of f'(x) and f''(x=1) > 0 then that point is a relative minimum point
Question 36.
Given the function:
Let's graph the function.
Let's graph the function using desmos, then label the following:
• 1. Points of inflection
,• 2. Critical points
,• 3. Local extremes
• 4. Asymptotes
• The inflection points are the points the function changes concavity.
,• The local minimum is the point where the minimum value is obtained.
,• The critical point is the point the function changes direction.
• There is no vertical or horizontal asymptote.
ANSWER:
• The inflection points are the points the function changes concavity.
,• The local minimum is the point where the minimum value is obtained.
,• The critical point is the point the function changes direction.
• There is no vertical or horizontal asymptote.
