Chapter 09: Functions of Several Variables

  • Homogeneous Functions
  • Differentials
  • Change of variables, the chain rule
  • Implicit functions
  • Directional derivative
  • Tangent planes and normal lines
  • Extrema of functions of two variables
  • Extrema with constraints
  • Volume of solid of revolution
  • Disc method
  • Washer method
  • Shell method
  • Cross-sectional method
  • Area of a surface of revolution
  • Volume and area in polar coordinates

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