New User Special Price Expires in

Let's log you in.

Sign in with Facebook


Don't have a StudySoup account? Create one here!


Create a StudySoup account

Be part of our community, it's free to join!

Sign up with Facebook


Create your account
By creating an account you agree to StudySoup's terms and conditions and privacy policy

Already have a StudySoup account? Login here

Partial Derivatives, Week 4

by: Andrew Swann

Partial Derivatives, Week 4 MATH 2232 Multi Variable Calculus

Andrew Swann
GPA 2.14
2233 Multivariable Calculaus

Almost Ready


These notes were just uploaded, and will be ready to view shortly.

Purchase these notes here, or revisit this page.

Either way, we'll remind you when they're ready :)

Preview These Notes for FREE

Get a free preview of these Notes, just enter your email below.

Unlock Preview
Unlock Preview

Preview these materials now for free

Why put in your email? Get access to more of this material and other relevant free materials for your school

View Preview

About this Document

2233 Multivariable Calculaus
Class Notes
25 ?




Popular in 2233 Multivariable Calculaus

Popular in Department

This 1 page Class Notes was uploaded by Andrew Swann on Tuesday February 17, 2015. The Class Notes belongs to MATH 2232 Multi Variable Calculus at George Washington University taught by Ullman in Spring2015. Since its upload, it has received 38 views.

Similar to MATH 2232 Multi Variable Calculus at GWU


Reviews for Partial Derivatives, Week 4


Report this Material


What is Karma?


Karma is the currency of StudySoup.

You can buy or earn more Karma at anytime and redeem it for class notes, study guides, flashcards, and more!

Date Created: 02/17/15
Partial Derivatives 1 Notation interpretation 0 dfdX del f over del X 0 D subscript X 0 f sub X 0 f sub 1 2 Interpretation meaning 0 The derivative of Z With respect to X if y is treated as a constant 0 If you increase how much doe Z increasethe ratio 0 3 Computation reduce to single variable 0 Easy 0 Just treat one of the letters as if it is a constant You can even replace it With a number to help 0 4 De nition precision 0 Let g sub y X fXy for Xed y Then D sub X Xy g39 sub y X 0 Given fXy 0 Partial derivatives With respect to X or y Second Partial Derivatives O 0 f sub XX or even f sub yy 0 If it39s positive its concave up 0 Negative concave down 0 Also possible to be f sub Xy or f sub yX O Derivative taken With respect to X then taken With respect to y 0 If negative then there is a type of cork screW effect 0 Clairaut39s theorem f sub Xy and f sub yX are usually the same if they are pretty basic If f has continuous second partial derivatives then true 0 Differentiable apprOXimate by a tangent line simply having partial derivatives does not make a function differentiable 0 If you blew it up a ton then it would follow the tangent line at that point 0 quotHas a tangent planequot


Buy Material

Are you sure you want to buy this material for

25 Karma

Buy Material

BOOM! Enjoy Your Free Notes!

We've added these Notes to your profile, click here to view them now.


You're already Subscribed!

Looks like you've already subscribed to StudySoup, you won't need to purchase another subscription to get this material. To access this material simply click 'View Full Document'

Why people love StudySoup

Steve Martinelli UC Los Angeles

"There's no way I would have passed my Organic Chemistry class this semester without the notes and study guides I got from StudySoup."

Amaris Trozzo George Washington University

"I made $350 in just two days after posting my first study guide."

Bentley McCaw University of Florida

"I was shooting for a perfect 4.0 GPA this semester. Having StudySoup as a study aid was critical to helping me achieve my goal...and I nailed it!"


"Their 'Elite Notetakers' are making over $1,200/month in sales by creating high quality content that helps their classmates in a time of need."

Become an Elite Notetaker and start selling your notes online!

Refund Policy


All subscriptions to StudySoup are paid in full at the time of subscribing. To change your credit card information or to cancel your subscription, go to "Edit Settings". All credit card information will be available there. If you should decide to cancel your subscription, it will continue to be valid until the next payment period, as all payments for the current period were made in advance. For special circumstances, please email


StudySoup has more than 1 million course-specific study resources to help students study smarter. If you’re having trouble finding what you’re looking for, our customer support team can help you find what you need! Feel free to contact them here:

Recurring Subscriptions: If you have canceled your recurring subscription on the day of renewal and have not downloaded any documents, you may request a refund by submitting an email to

Satisfaction Guarantee: If you’re not satisfied with your subscription, you can contact us for further help. Contact must be made within 3 business days of your subscription purchase and your refund request will be subject for review.

Please Note: Refunds can never be provided more than 30 days after the initial purchase date regardless of your activity on the site.