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Multivariable Calculus Lecture Notes by Melody Shields is a document available to read on EtoBox.

What is Multivariable Calculus Lecture Notes about?

1) The document discusses partial derivatives of functions with constraints. When a function f(x,y,z) has a constraint g(x,y,z)=c, its partial derivatives with respect to one variable holding another fixed can be computed in two ways: using differentials or the chain rule. 2) As an example, the document computes the partial derivative (∂A/∂θ)a of an area function A holding a fixed, where the constraint is a=bcosθ. Both methods give the same answer of (∂A/∂θ)a = 1/2absecθ. 3) The document warns that notatio

Author

Melody Shields

Language

EN