A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 4 years ago
ALGEBRA in Calculus proof... Can you help me understand the basis for bringing delta x upstairs into only the numerator in this step of a problem?
anonymous
 4 years ago
ALGEBRA in Calculus proof... Can you help me understand the basis for bringing delta x upstairs into only the numerator in this step of a problem?

This Question is Closed

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0\[1/\Delta x * (\Delta u)v  u(\Delta v)/(v + \Delta v)v\] \[((\Delta u / \Delta x)v  u(\Delta v/\Delta x))/(v + \Delta v)v\]

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0This is from Lecture Session 10 of MIT OCW Math 18.01 Scholar  Single Variable Calculus.

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0The lecture and lecture notes show what I typed above. I don't understand why the Delta x would not have to be multiplied against the (v + Delta v)v term in the denominator.

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0How does the Delta x term get into the numerator of the numerator?

TuringTest
 4 years ago
Best ResponseYou've already chosen the best response.1\[{{1\overΔx}(Δu)v−u(Δv)\over(v+Δv)v} \to {{Δu \overΔx}v−u{Δv \overΔx}\over(v+Δv)v}\]is the step?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Almost. The 1/Delta x is a separate fraction. It started out as simply Delta x under everything else.

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0And then ended up as you have on the right hand side.

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0see attached for more clarity. It's near the bottom third of the page...

TuringTest
 4 years ago
Best ResponseYou've already chosen the best response.1oh this is simple: multiply out the bottom by delta x then divide the top and bottom by delta x much easier when I can see it!

TuringTest
 4 years ago
Best ResponseYou've already chosen the best response.1or divide top and bottom of \[{1\over \Delta x}\] by \[\Delta x\]you get\[{{1\over \Delta x}\over1}{(\Delta u)vu (\Delta v)\over(v+\Delta v)v}\]

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0I need to go to Algebra Tricks Boot Camp. Thanks.

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0I still think that is really funky. I will need to do some test problems to convince my rocklike brain this works just like you show it does.
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.