AP Calculus Unit 6 Lesson 6 Part 4: Finding Derivative With Fundamental Theorem of Calculus

Dive into the application of the Fundamental Theorem of Calculus in this comprehensive video lesson. We'll explore step-by-step examples to find derivatives involving definite integrals.

The video starts by demonstrating how to handle integrals with variable bounds and applies derivative rules systematically. Example 1 focuses on switching integration bounds and leveraging the theorem directly to simplify expressions. Example 2 introduces a more complex scenario, where variable bounds include a squared term, showcasing how to differentiate composite functions using integral expressions.

Throughout the video, clear annotations, visual graphs, and concise explanations make advanced calculus concepts accessible and intuitive. Perfect for students aiming to deepen their understanding of derivatives with integrals!