Ace school

with brainly

  • Get help from millions of students
  • Learn from experts with step-by-step explanations
  • Level-up by helping others

A community for students.

f(x) = (2x +1)^3 f'(x) = 6(2x + 1)^2 f''(x) = 48x + 24 I need to know when its concave up/down increasing /decreasing and the inflection points I am new to this kind of stuff

Mathematics
See more answers at brainly.com
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.

Join Brainly to access

this expert answer

SEE EXPERT ANSWER

To see the expert answer you'll need to create a free account at Brainly

First derivative is nonnegative for all real x, so f is non-decreasing. Second derivative is everywhere matching the sign of x+1/2, so there is an inflection point at x=-1/2. The function is concave down on x<-1/2 and concave up on x>-1/2.
how did you find the -1/2
f''(x)=0 at x=-1/2

Not the answer you are looking for?

Search for more explanations.

Ask your own question

Other answers:

Ok and something more are my derivative calculations correct? f(x) = (2x +1)^3 f'(x) = 6(2x + 1)^2
Yes, all were perfect!
so its not decreasing that means its always increasing? Kinda what's the interval?
(0,infinity) increasing?
non-decreasing means increasing or flat. it is flat at the inflection point, increasing everywhere else
so increasing on the entire real line except at -1/2, where it is flat (deriv=0)
here it asks me the open interval on which f is increasing what should I put? (-inf,-1/2)U(-1/2,int) ?
yes, very nicely done
and decreasing interval*
empty set
like I just say "it's not decreasing anywhere" ?
yes
Alright, thank you!
welcome

Not the answer you are looking for?

Search for more explanations.

Ask your own question