Change of Variables: Derivative and Application

This lecture covers the derivative of a composite function and its application in changing variables. Starting with the concept of a composite function, the instructor explains the differentiability of the composite function and its components. The lecture then delves into the application of changing variables, particularly focusing on the reciprocal function and the transformation in polar coordinates. Through examples and theoretical explanations, the lecture demonstrates how to handle the derivative of integrals dependent on parameters. The importance of continuity and class C functions in the context of changing variables is emphasized, providing a comprehensive understanding of the topic.