*Lecture: The Product Rule of Differentiation* In calculus, the product rule is a fundamental concept that helps us differentiate products of functions. It's a powerful technique that's widely used in mathematics and other fields. The Product Rule states that if we have a function of the form f(x) = u(x)v(x), where u(x) and v(x) are both differentiable functions, then the derivative of f(x) is given by f'(x) = u'(x)v(x) u(x)v'(x). This rule is useful when we need to differentiate a product of tw