Derivatives and Limits
This page covers fundamental concepts of derivatives and limits, essential for Comment être bon en maths terminale?
The page begins with a comprehensive list of basic derivative formulas for common functions like polynomials, trigonometric functions, exponentials, and logarithms. It also includes key identities and properties of exponents and roots.
Definition: The derivative of a function represents its rate of change at any given point.
The section on limits provides important limit formulas and theorems, including:
Highlight: The squeeze theorem (also known as the sandwich theorem) is a powerful tool for evaluating limits of complex functions.
The page also covers techniques for evaluating indeterminate forms and comparing growth rates of functions.
Example: lim x→∞ (x^n / e^x) = 0 demonstrates that exponential functions grow faster than polynomial functions.
Key operations on derivatives are presented, including the sum rule, product rule, and chain rule. These are essential for Comment comprendre facilement les mathématiques?
Vocabulary: Asymptotes are lines that a graph approaches but never reaches. Vertical asymptotes occur where the function approaches infinity, while horizontal asymptotes represent the limit of the function as x approaches infinity.
