MA 242.003 Day 19- February 1, 2013 Begin Differential Multivariable Calculus Section 11.1 Section 9.6.

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Presentation transcript:

MA Day 19- February 1, 2013 Begin Differential Multivariable Calculus Section 11.1 Section 9.6

Chapter 11: Differential multivariable calculus

Chapter 11

Chapter 11: Partial Derivatives

Application of partial derivatives Optimization Find the local and global maxima and minima of functions f(x,y) of 2 variables

Domain:

Sketching Ellipsoids

(continuation of problem)

Sketching Parabaloids

(continuation of problem)

Sketching Parabaloids

(continuation of problem)

Sketching Parabaloids

(continuation of problem)

Sketching Parabaloids

(continuation of problem)

Sketching Cones

(continuation of problem)

Sketching Planes

Sketching Cylinders Definition: A cylinder is a surface in space that is the graph of an equation involving AT MOST two of the three variables x, y and z.

Sketching Cylinders Definition: A cylinder is a surface in space that is the graph of an equation involving AT MOST two of the three variables x, y and z.

My standard picture of a curve:

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