The Leibniz formula is a mathematical expression used to calculate the derivative of a product of two functions. It states that if you have two differentiable functions, f(x) and g(x), the derivative of their product is given by the formula: (f \cdot g)' = f' \cdot g + f \cdot g' . This means you take the derivative of the first function, multiply it by the second function, and then add the product of the first function and the derivative of the second. This formula is named after the mathematician Gottfried Wilhelm Leibniz, who contributed significantly to calculus. The Leibniz formula is essential in various fields, including physics and engineering, as it simplifies the process of differentiation when dealing with products of functions. Understanding this formula is crucial for solving complex problems involving rates of change.