Partial Derivatives
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Beschreibung
1. Partial Derivatives and Partial Differentiation.- Exercises.- 2. Differentiability and Change of Variables.- 1. Differentiability.- 2. Change of Variables in Partial Differentiation.- 3. Differentials.- Exercises.- 3. Implicit Functions.- 1. Fundamental Theorem.- 2. Derivatives involving Implicit Functions.- 3. Jacobians, Inverse Functions, and Functional Dependence.- Exercises.- 4. Maxima and Minima.- 1. Mean Value Theorem and Taylor's Theorem.- 2. Maxima and Minima.- 3. Maxima and Minima for Functions with Restraints.- Exercises.- 5. Appendix.- Exercise.- Answers to Exercises.
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