Partial Derivatives

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. Language: English