This preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: < < < < 2. {( , ) : 2 5, 4 6} x y x y ≤ ≤ ≤ ≤ 3. {( , ) : 2 5, 4 6} x y x y ≤ ≤ < < 14.6  Limits and Continuity; Equality of Mixed Partials Do all paths yield the same limit???? Example: Find ( , ) (0,0) lim ( , ) x y f x y → for 2 2 2 ( , ) y f x y x y = + Higher order derivatives: What does this mean? Example: In the case of a function of three variables you can look for three first partials , , x y z f f f and there are NINE second partials: , , , , , , , , xy yx xz zx yz zy xx yy zz f f f f f f f f f Example: More examples: Popper006 4. Calculate the secondorder partial derivatives. a) , , b) , , c) , , d) , , e) , , 5. Calculate yz f . a) 2 z yz f e = b) 2 z yz f ye = c) 4 z yz f e = d) 2 x yz f e = e) 3 y yz f xe = 6. B...
View
Full Document
 Fall '10
 Etgen
 Derivative, lim, YZ, SecondOrder Partial Derivatives, NINE second

Click to edit the document details