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Differentiation Rules
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Derivatives
& Techniques of Differentiation |
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The Derivative |
The contents of this unit include:
- The tangent problem
- Average rate of change and instantaneous rate of change
- Difference quotient and differential quotient
- Definition of the derivative at a point and as a function
- Increasing and decreasing functions on an interval
- Leibniz notation
- Continuity of a differentiable function
- Geometry of the graphs of non-differentiable functions: vertical tangent, sharp point, or cusp
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Introductory Techniques of Differentiation
The contents of this unit include:
- The power rule
- The constant multiple rule
- The sum and difference rules
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Advanced
Differentiation Rules |
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The Derivative of Exponential Functions |
The contents of this unit include:
- Realtive rate of change and percentage rate of change
- The derivative of a general exponential function
- The Euler-number, the natural exponential function, and its derivative
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Higher-Order Derivatives
The contents of this unit include:
- Second-order and third-order derivatives
- Notations for higher-order derivatives
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The Product & Quotient Rule
The contents of this unit include:
- The product rule and its derivation
- The quotient rule and its derivation
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Derivatives of Trigonometric Functions
The contents of this unit include:
- The derivative of the sine function and its derivation
- The derivatives of the cosine and tangent functions
- Summary of the differentiation rules of all six trigonometric functions
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Copyright Kutaisi International University — All Rights Reserved — Last Modified: 12/ 10/ 2022
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