Got Homework?
Connect with other students for help. It's a free community.
Here's the question you clicked on:
 0 viewing
Find the average rate of change of the function over the given interval. Compare the average rate of change with the instant rate of change at the endpoints of the interval.
f(x)=1/x [1,2]
 2 years ago
 2 years ago
Find the average rate of change of the function over the given interval. Compare the average rate of change with the instant rate of change at the endpoints of the interval. f(x)=1/x [1,2]
 2 years ago
 2 years ago

This Question is Closed

ChrisVBest ResponseYou've already chosen the best response.0
f(x)=1x^1 1(1)x^2 1/x^2
 2 years ago

ChrisVBest ResponseYou've already chosen the best response.0
1/(1)^2=1 1/(2)^2=2 instantaneous rates: f'(1)=1 ; f'(2)= 1/4
 2 years ago

ChrisVBest ResponseYou've already chosen the best response.0
how do i find the average rate?
 2 years ago

ChrisVBest ResponseYou've already chosen the best response.0
i know the average rate is 1/2 because the back of the book tells me, but I do not see how to get that from my work. :(
 2 years ago

dumbcowBest ResponseYou've already chosen the best response.1
think of slope between the 2 endpoints avg rate = f(2) f(1) / 21 = 1/2 (1) / 1 = 1/2
 2 years ago

dumbcowBest ResponseYou've already chosen the best response.1
or more technically using calculus \[avg rate = \frac{1}{ba}\int\limits_{a}^{b}f'(x) dx = \frac{f(b) f(a)}{ba}\]
 2 years ago

ChrisVBest ResponseYou've already chosen the best response.0
im trying to understand really
 2 years ago

ChrisVBest ResponseYou've already chosen the best response.0
so if i take the original equation f(x)=1/x
 2 years ago

ChrisVBest ResponseYou've already chosen the best response.0
im just confusing myself now lol
 2 years ago
See more questions >>>
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.