A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 4 years ago
help !!! Given the facts that f(9) = 11 and f'(9) = 3, use the difference quotient to estimate the value of f( 9.5 ). f(9.5) ~=
anonymous
 4 years ago
help !!! Given the facts that f(9) = 11 and f'(9) = 3, use the difference quotient to estimate the value of f( 9.5 ). f(9.5) ~=

This Question is Closed

TuringTest
 4 years ago
Best ResponseYou've already chosen the best response.1\[f'(x)\approx\frac{f(x+\Delta x)f(x)}{\Delta x}\]\[f(x+\Delta x)\approx f(x)+f'(x)\Delta x\]\[f(9.5)=f(9+0.5)\approx f(9)+f'(9)(0.5)\]

TuringTest
 4 years ago
Best ResponseYou've already chosen the best response.1(you plug in 0.5 for delta x is the deal)

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0ok so I just plug in 0.5 and multiply with 9 and I get the answer

TuringTest
 4 years ago
Best ResponseYou've already chosen the best response.1? what do you think the answer is?

TuringTest
 4 years ago
Best ResponseYou've already chosen the best response.1why do you think it's zero no, it's given in the question

TuringTest
 4 years ago
Best ResponseYou've already chosen the best response.1no, how are you getting these answers?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0I thought I was trying to get the derivitave of f'(9)

TuringTest
 4 years ago
Best ResponseYou've already chosen the best response.1f'(9) is a constant, so its derivative would be zero we don't need that, we just need the value of f(9), f'(9) and Delta x the first two are given in the problem, and I already told you the value of Delta x

TuringTest
 4 years ago
Best ResponseYou've already chosen the best response.1I don't know what you mean, show your work please

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0what I mean is that would put 0.5 for delta then solve w/ x

TuringTest
 4 years ago
Best ResponseYou've already chosen the best response.1If you knew how to solve the problem you would have done it rather than explain it, it takes just a moment since I already gave you the formula above Again, starting with the difference quotient:\[f'(x)\approx\frac{f(x+\Delta x)f(x)}{\Delta x}\]rearranging:\[f(x+\Delta x)\approx f(x)+f'(x)\Delta x\]sub in for a particular point, and not that the difference between this point in question and the one already given is Delta x=0.5\[f(9.5)=f(9+0.5)\approx f(9)+f'(9)(0.5)\]now you have all given information

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0do I still need to solve or is that the answer?

TuringTest
 4 years ago
Best ResponseYou've already chosen the best response.1you still need to substitute in the numbers given in the problem and do the simple arithmetic

TuringTest
 4 years ago
Best ResponseYou've already chosen the best response.1what is f(9) ? what is f'(9) ? both are given in your very post
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.