A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 5 years ago
How do you find the linearization L(x) of f(x) = 3x^2+5x+12 at x=3?
What are the steps for this?
anonymous
 5 years ago
How do you find the linearization L(x) of f(x) = 3x^2+5x+12 at x=3? What are the steps for this?

This Question is Closed

myininaya
 5 years ago
Best ResponseYou've already chosen the best response.1We need to find the tangent line of f at x=3

myininaya
 5 years ago
Best ResponseYou've already chosen the best response.1\[f'(x)=6x+15\] so to find the slope use f' and then we also know a point on the line \[(3,3(3)^2+5(3)+12=27+15+12=54)\]

myininaya
 5 years ago
Best ResponseYou've already chosen the best response.1\[y=mx+b => 54=23(3)+b \text{ solve for b}\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Wouldn't it be f'(x) = 6x + 17, when you take the derivitive?

myininaya
 5 years ago
Best ResponseYou've already chosen the best response.1oops i put an extra 1 in there lol

myininaya
 5 years ago
Best ResponseYou've already chosen the best response.1\[f'(x)=3(2x)+5=6x+5\]

myininaya
 5 years ago
Best ResponseYou've already chosen the best response.1\[(x^2)'=2x;(5x)'=5;(constant)'=0\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Ok sounds good, also have another quick question, Where did you get the 23 from... on y=mx+b=>54=23(3)+b solve for b

myininaya
 5 years ago
Best ResponseYou've already chosen the best response.1well 23 was what i found when i plug into f' you know what i got earlier for f' lol

myininaya
 5 years ago
Best ResponseYou've already chosen the best response.1\[f'(3)=6(3)+5=18+5=23\]

myininaya
 5 years ago
Best ResponseYou've already chosen the best response.1f'(3) is the slope of the curve at x=3
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.