A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 5 years ago
What is the derivative of:
3x^4  2x^3  12x^2 + 18x
anonymous
 5 years ago
What is the derivative of: 3x^4  2x^3  12x^2 + 18x

This Question is Closed

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0What'd you come up with? It's a pretty straight forward derivative to take.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0what i am wondering is if i should take an x out first. x(3x^3  2x^2  12x +18)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Oh, no. Take the derivative term by term. It'll be much simplier.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0In general I find it's easier to multiply out the products and take the derivative term by term unless it's a particularly hairy product with a lot of exponents, etc.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0ok, the whole problem is: Find all critical point of: (the orginal equation i entered) and use the second derivative test to classify each as a relative man and rel min or neither. it seems to be more difficult to get my critical points.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0\[f' = 12x^3 6x^2  24x + 18\] \[f' = 0 \implies 2x^3  x^2  4x + 3 = 0\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0when you say taking the derivative, I am assuming you mean the derivative with respect to x? Therefore, the derivative would symply be: f'(x)=12x^36x^224x+18

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0should have been relative max and rel min

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0with having so many x's i am not sure how to find the critical points

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Yeah it's a tough one to factor.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0should i pull an x out before i get the derivative

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0I'm not sure it'll make it better.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0i had done that already and it still has alot of x's

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0It pretty much gives the same result. I was hoping it would be of a form that would better suggest how to factor.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0\(2x^3−x^2−4x+3=0\) \(x^2(2x1) (2x  1)  (2x 1) 1\)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Bleh. I need to practice dividing polynomials more apparently ;p

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0WA claims it's \((x1)^2(2x+3)\)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0thanks for your help. i will work on this again tomorrow

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0one more quick question. should i go ahead and get the second derivative before i can get the critical points.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0i really dont think i will. i think i get the critical points from the first derivative and then i get the second derivative to test.
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.