# Word problems involving the application of implicit differentiation related rates problems

**related**

**rates**

**problems**that involve cones. 1. The formula for the volume of a cone with top radius and height is . 2. There is a unique relationship that you may not think of when you work these

**problems**.

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**rate**of change of the oil film is given by the

**derivative**dA/dt, where. A = πr 2.

**Differentiate**both sides of the area equation using the chain rule. dA/dt = d/dt (πr 2 )=2πr.

**Related**

**rates**and

**problems**

**involving**

**related**

**rates**take advantage of quantities that are

**related**to each other.

**Related**

**rates**help us determine how fast or how slow a certain quantity is changing using the

**rate**

**of**change of the second quantity. ... In short,

**Related**

**Rates**

**problems**combine

**word**

**problems**together with

**Implicit**

**Differentiation**, an.

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**Related**

**Rates**Example

**problem**#1 Q. A rock is dropped into the center of a circular pond. The ripple moved outward at 4 m/s. How fast does the area change, with respect to time, when the ripple is 3m from the center? Step 1: Draw a picture of the

**problem**(this always helps, especially when geometry is involved). There is an updated version of this activity. If you update to the most recent version of this activity, then your current progress on this activity will be erased. Regardless, your record of completion will remain.

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**Rate**of Change. The average

**rate**of change is a function that represents the average

**rate**at which one thing is changing with.