Derivative Functions and Operations
This page delves deeper into derivative functions and operations performed on them, providing essential information for Cours dérivation première spé maths and dérivée : exercices corrigés pdf.
The page begins with a table showing various functions and their corresponding derivative functions. This table is particularly useful for quick reference when solving Dérivée Première Exercice problems.
Highlight: Some key derivative formulas include:
- (u + v)' = u' + v'
- (ku)' = ku' (where k is a constant)
- (x³)' = 3x²
- (xⁿ)' = nxⁿ⁻¹
The document then presents rules for operations on derivatives, which are fundamental in solving complex Fonction dérivée exercice corrigé problems:
- Sum Rule: (u + v)' = u' + v'
- Product Rule: (uv)' = u'v + uv'
- Quotient Rule: (u/v)' = (u'v - uv') / v²
Example: For the function f(x) = x³, its derivative f'(x) = 3x².
These rules are essential for handling more complex functions and are frequently used in Opérations sur les fonctions dérivées Exercices corrigés.
The page also includes some special cases and additional formulas, such as:
- (1/x)' = -1/x²
- (√x)' = 1 / (2√x)
These formulas are particularly useful when working on Exercices dérivée PDF corrigés and Fonction dérivée exercice pdf problems, as they allow for quicker and more efficient problem-solving.
Understanding and applying these rules and formulas is crucial for mastering derivatives and excelling in calculus courses, as well as preparing for exams like the Bac Pro where Fonction dérivée exercice corrigé PDF questions are common.
