4.5. Differentiation of exponential-power function

Lecture

View function where both the base and the indicator change with the argument x , is called an exponential-power function.

The derivative of the exponential-power function is calculated by the following formula: .

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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