Understanding the Product Rule for Derivatives

In calculus, the product rule is a fundamental concept when it comes to finding the derivative of the product of two functions. It states that for functions f(x) and g(x), the derivative of their product is given by:

[(f \cdot g)' = f' \cdot g + f \cdot g']

Where f' and g' represent the derivatives of f and g, respectively. This rule is crucial when dealing with more complex functions and is essential for mastering calculus. By understanding and applying the product rule, students can effectively find the derivatives of a wide range of mathematical expressions.