Calculus - Differentiation and its applications — Related time rates

About this lesson

This unit focuses on related time rates in calculus, where variables change over time and are linked by equations. It teaches how to differentiate these relations with respect to time to find rates of change, using examples like inflating balloons, ladder motion, triangle areas, shadow lengths, and electric circuits. Students learn to model real-world problems, set up equations, differentiate, and substitute known values to find unknown rates. By the end, they should be able to solve problems involving geometric shapes, physical situations, and life applications, applying the concept of positive or negative rates depending on whether variables increase or decrease.