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Notation for functions of several variables
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APEX Calculus - Functions of Several Variables
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- 1 Notation for functions of several variables
- 2 Limits and continuity
- 3 Defining partial derivatives
- 4 Interpreting partial derivatives
- 5 Partial derivatives
- 6 Second-order partials and differentiability classes
- 7 Differentiability in two variables
- 8 Showing that a function is differentiable
- 9 Differentiability in general
- 10 Chain rule
- 11 Chain rule examples
- 12 Chain rule with matrices
- 13 Implicit differentiation
- 14 Directional derivatives: definition
- 15 Directional derivatives: examples
- 16 Directional derivatives: interpretation and significance
- 17 Extreme values and critical points
- 18 Finding critical points
- 19 Classifying critical points
- 20 Classifying critical points: Example #1
- 21 Classifying critical points: Example #2
- 22 Finding extreme values: Example #1
- 23 Finding extreme values: Example #2
- 24 Introducing Lagrange multipliers
- 25 Lagrange multipliers: Example #1
- 26 Lagrange multipliers: Example #2
