Derivatives of Common Functions and Operations
This page presents a comprehensive table of derivative formulas for common functions and operations, serving as a valuable reference for calculus students. The table covers basic power functions, constant functions, and more complex operations involving multiple functions.
The document is organized into two main sections:
- Derivatives of basic functions
- Operations on derivative functions
Key formulas and rules presented include:
- Power rule for derivatives
- Derivative of a constant function
- Product rule for derivatives
- Quotient rule for derivatives
- Derivative of square root function
Definition: The derivative of a function f(x) is denoted as f'(x) and represents the rate of change of the function with respect to x.
Example: For the function fx = x², its derivative is f'x = 2x.
Highlight: The table provides a quick reference for calculating derivatives of various function types, which is essential for solving more complex calculus problems.
Vocabulary:
- "Fonction dérivée" means "derivative function" in French.
- "Opérations sur les fonctions dérivées" translates to "operations on derivative functions".
This tableau des dérivées usuelles (table of common derivatives) is an invaluable tool for students learning calculus, providing a concise summary of key formules de dérivées (derivative formulas) that form the foundation of differential calculus.