Flashcards in Differential Equations Deck (16):

1

## Writing limits of multivariable functions

### Lim(x,y)→(a,b) for f

2

## Boundry point

### Any point that exists on the border of a set of points that meet a multivariable equation

3

## Interior point

### Point that exists within the set of points that fit the multivariable equation

4

## Open set

### A set of only interior points

5

## Closed sets

### A set of points that include all boundary points for a multivariable equation

6

## 2 path test

### If there are two paths to the (x,y) point, the limit does not exist

7

## Partial derivatives for x-value

### Lim(h→0) [f(a+h,b)-f(a,b)]/h

8

## Partial derivatives for y-value

### Lim(h→0) [f(a+h,b)-f(a,b)]/h

9

## Higher order Derivatives

### J

10

## Differentiable points on a region

### Of a function is differentiable at one point, its differentiable at all points

11

## Chain Rule (One independent Variable)

### H

12

## Chain Rule (Two independent Variables)

### S

13

## Implicit Differentiation

### dy/dx=-F(x)/F(y)

14

## Directional Derivative

### Lim(h→0) (f(a+hcosθ,b+hsinθ)-f(a,b))/h

15

## Check for extrema in surfaces using differtial equations

### P

16