Lesson: Related Rates AP Calculus BC • AP Calculus AB

Mathematics

In this lesson, we will learn how to use derivatives to find the relation between the rates of two or more quantities in related rates problems.

Video

17:05

Explainer

Sample Question Videos

02:50
01:25
06:20

Worksheet

Q1:

If is the volume of a cube with edge length and the cube expands as time passes, give an expression for .

Q2:

A triangle with sides , , and contained angle has area . Suppose that , , and the angle is increasing at 0.6 rad/s. How fast is the area changing when ?

Q3:

Given that a rocket of mass 26 metric tons is burning fuel at a constant rate of 80 kg/s, find the mass of the rocket 25 seconds after take-off.

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