A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 5 years ago
The following limit represents the derivative of some function f at some point (a, f(a)). Select an appropriate f(t) and a.
http://www.webassign.net/cgibin/symimage.cgi?expr=lim_%28t%3E1%29%20%28t%5E2%20%2B%20t%20%202%29%2F%28t%20%201%29
f(t) = t^2, a = 1
f(t) = t^2 + t, a = 1
f(t) = t  2, a = 1
f(t) = t  2, a = 1
f(t) = t^2 + t, a = 1
f(t) = t^2, a = 1
None of the other options is correct.
anonymous
 5 years ago
The following limit represents the derivative of some function f at some point (a, f(a)). Select an appropriate f(t) and a. http://www.webassign.net/cgibin/symimage.cgi?expr=lim_%28t%3E1%29%20%28t%5E2%20%2B%20t%20%202%29%2F%28t%20%201%29 f(t) = t^2, a = 1 f(t) = t^2 + t, a = 1 f(t) = t  2, a = 1 f(t) = t  2, a = 1 f(t) = t^2 + t, a = 1 f(t) = t^2, a = 1 None of the other options is correct.

This Question is Closed

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0you are suposed to recognize this as the derivative of \[t^2+t\] at the point (1,2)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0option 2 in your case

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0oh because the derivative at a point \[a\] is \[lim_{x>a} \frac{f(x)f(a)}{xa}\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0in this case i guess i should have used t instead of x, but it makes no difference. \[a=1\] \[f(1)=2\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0but howd u know whether to use a=1 or a= 1

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0so you have \[lim{t>1}\frac{f(t)f(1)}{t1}=lim_{t>1}\frac{f(t)2}{t1}\]\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0look at your denominator. it is\[t1\] so this is the derivative at 1. also \[f(1)=2\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0which explains the \[f(t)2\] in the numerator
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.