A community for students.
Here's the question you clicked on:
 0 viewing
zeesbrat3
 one year ago
If f(1) = 5 and f prime of x equals the quotient of 6 and the quantity x squared plus 2, which of the following is the best approximation for f(1.03) using local linearization?
zeesbrat3
 one year ago
If f(1) = 5 and f prime of x equals the quotient of 6 and the quantity x squared plus 2, which of the following is the best approximation for f(1.03) using local linearization?

This Question is Closed

zeesbrat3
 one year ago
Best ResponseYou've already chosen the best response.1\[f(1) = 5\] \[f'(x) = \frac{ 6 }{ x^2 + 2}\]

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1you first need to integrate the 6/(x²+2)

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1you would need a trig substitution....

zeesbrat3
 one year ago
Best ResponseYou've already chosen the best response.1I haven't gotten to integration yet..

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1oh, then just recongize the derivative I guess

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.2\[f(1+0.03) = f(1) + f'(1)(1.031)\]

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1I feel stupid now:)

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1you don't even need to find f(x).

zeesbrat3
 one year ago
Best ResponseYou've already chosen the best response.1There is no defined f'(1) I thought?

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.2Since it is an approximation, it makes more sense to use \(\approx\) \[f(1+0.03) \approx f(1) + f'(1)(1.031)\] simplify

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1for f`(1) plug in 1 for x into the f'(x)

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1(and it is always defined, because x²+6 is never=0, it is at least 6)

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.2Looks good! it simplifies further tho

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1I wish one day I would be that good at math too.... :D f(1+0.03) was quite awesome, I will remeber this trick.
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.