Скачать или смотреть A winch at the top of a 12 meter building Related Rate of Change | Calculus AP Challenge

A winch at the top of a 12-meter building pulls a pipe of the same length to a vertical position, as shown in the figure. The winch pulls in rope at a rate of -0.2 meters per second. Find the rate of vertical change and the rate of horizontal change at the end of the pipe when y = 6.
You’ll learn:
How to apply implicit differentiation
How to handle trigonometric functions like cosine
The correct use of the chain rule
Step-by-step reasoning with clear algebraic simplification
Perfect for students preparing for AP Calculus, IB Math, or university-level calculus courses.
👉 Check out related videos in the Differentiation Playlist for more practice!
Understand Implicit Differentiation:    • Understand Implicit Differentiation and Di...  
Learn how to find the second derivative using implicit differentiation with the example y^2+x^2=1. Step-by-step solution with clear explanation to help you master this key calculus skill. Perfect for SAT, AP Calculus, IB, and STEM prep.
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