2.6.4. Derivative of a complex function

Lecture

Let complex function be given , , , then partial derivatives can be found by the following formulas:

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Indeterminate form

2.1. Real argument function

2.1. The concept of the limit of function

2.2. Equivalence of infinitesimal

2.3. Unilateral limits

2.4. Bound theorems

2.5. The first and second wonderful limits

3.2. Break points and their classification

2.4. Derivative 2.4.1. Derivative Definition

4.2. Basic rules for differentiation

4.3. Derivatives Table

4.4. Derivative of a parametrically given function

4.5. Differentiation of exponential-power function

5.2. Function asymptotes

5.3. Extremum functions

5.4. Convexity, concavity and inflection points

5.5. Plan a general study of the function

2.6. Functions of many variables (FMP) 2.6.1. Scope of FMP

2.6.2. Partial derivatives

2.6.3. Full differential

2.6.4. Derivative of a complex function

2.6.5. Derivative of implicit function

2.6.6. Extremes FMP

2.6.7. Directional derivative, gradient

Zero to the power of zero