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Nov 16, 2022 · In this section we will discuss the only application of derivatives in this section, Related Rates. In related rates problems we are give the rate of change of one quantity in a problem and asked to determine the rate of one (or more) quantities in the problem.
Sep 7, 2022 · In this case, we say that \(\frac{dV}{dt}\) and \(\frac{dr}{dt}\) are related rates because \(V\) is related to \(r\). Here we study several examples of related quantities that are changing with respect to time and we look at how to calculate one rate of change given another rate of change.
In differential calculus, related rates problems involve finding a rate at which a quantity changes by relating that quantity to other quantities whose rates of change are known. The rate of change is usually with respect to time.
Learn how to find the rate of change of one quantity that depends on the rate of change of other quantities using the chain rule. See examples of related rates problems involving balloons, planes, rockets, and funnels.
Feb 22, 2021 · Learn how to solve related rates problems using implicit differentiation and geometric shapes. See real-life applications, step-by-step solutions, and video tutorials for cone, ladder, and boat problems.
Learn how to use calculus to find the rate of change of a circle's area when its radius is expanding. Watch a video, see examples, and read comments from other learners.
- 8 min
- Sal Khan
Solve a problem involving the rate of change of the volume of a cube as its side decreases. Learn related rates and how to apply them in calculus with Khan Academy.
