f(s) = 2s^3+18s^2+5
(need help with the concave upward)
f(s) is increasing for s < -6
f(s) is decreasing for -6 < s < 0
f(s) is increasing for s > 0
f(s) is concave downward for s < -3
f(s) is concave upward for s > ?
The relative maximum is at (-6, 221)
The relative minimum is at (0, 5)
The inflection point is at (-3, 113)
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga.
Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus.
Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
concave upward is any positive value of the second derivative, and it gives you a local maximum. If second derivative is 0 you have an inflection point.
a cubic graph only has at most one max and one min.
does that make sense?
So I can use any number I choose?
it is concave upward from any where from the inflection point to +infinity. so long as you havent limited the domain.
Not the answer you are looking for? Search for more explanations.
the graph looks like a modified "N" shape. Anything to the right of inflection is concave up and anything to the left of inflection is concave down. The minimum is the bottom of the "bowl" on the right of the graph, and the maximum is the top of the "bowl" on the left side of the graph. Concavity isnt just a single point.
unless I am wrong, but Im usually right :)
You are right! But I must be entering the wrong number somehwhere because all of my numbers are correct but the convave upward!