Proof of the Product Rule

Proof of the Product Rule in calculus is a fundamental concept that establishes the method for finding the derivative of the product of two functions. When dealing with functions that are multiplied together, the Product Rule provides a systematic approach to determine their rate of change. This rule is essential in calculus and plays a crucial role in solving problems related to optimization, rates of change, and curve analysis. By understanding the proof of the Product Rule, students and mathematicians gain a deeper insight into the principles that govern the differentiation of product functions, enhancing their ability to analyze complex mathematical relationships.

Questions