Differentiation (First Principles): 13. Derivative of y = f(x)g(x)

[Proof of the Product Rule]

This video shows how to find the derivative of the function y = f(x)g(x), where f(x) and g(x) are functions of x, from first principles.

The result, which is that dy/dx = f'(x)g(x)+f(x)g'(x), is known as the product rule for differentiation.