Chap3 - b Derivative of a single variable function: ( ) ()...

Info iconThis preview shows pages 1–3. Sign up to view the full content.

View Full Document Right Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: b Derivative of a single variable function: ( ) () '()lim x df fx x fx fx dx x + = erivatives of a twoariable function: Chapter 3: Multivariate Calculus Only the Basics b Derivatives of a two-variable function: (,) ( ,) (,) lim (,) (,) (, ) (,) lim (,) x x y y fxy fx xy fxy fxy x x fxy fxy y fxy fx y y y + = + = Higher order derivatives b Second derivatives of f(x,y) in x-and y-directions: 2 2 2 2 ( ,) (,) lim (,) (, ) (,) lim (,) x x xx x y x yy y fx xy fxy f f fx y x x x x fxy y fxy f f fx y y y y y + = = + = = b Mixed derivative: (,) ( ,) (,) lim (,) (,) (, ) (,) lim (,) y y y xy x x x x yx y fxy fx xy fxy f fx y x x y x fxy fxy y fxy f fx y y y x y + = = + = = b...
View Full Document

Page1 / 7

Chap3 - b Derivative of a single variable function: ( ) ()...

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online