Advanced Derivative Rules
This page covers more complex derivative rules, essential for solving challenging derivata di una funzione problems.
The product rule, quotient rule, and chain rule are presented:
Example: Product Rule: y' (A·B) = D(A)·B + A·D(B)
Example: Quotient Rule: y' (A/B) = [D(A)·B - A·D(B)] / B^2
Example: Chain Rule: If y = f[g(x)], then y' = f'[g(x)]·g'(x)
A practical example is provided, demonstrating the application of these rules to find the derivative of a complex rational function.
Highlight: These advanced rules are crucial for studio derivata seconda and analyzing more complex functions.
The page also introduces the concept of analyzing the sign of the derivative, which is key to understanding function behavior and finding critical points.