m110_5.4

# m110_5.4 - Related Rates To answer the question we have to...

This preview shows pages 1–4. Sign up to view the full content.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Related Rates To answer the question, we have to compare (or relate) the rate of change of one quantity to the rate of change of another quantity. Ex. Two cars leave from an intersection at the same time. One car travels north at 35 mi./ hr., the other travels east at 60 mi./hr. How fast is the distance between them changing after 2 hours? The rate of change of the distance between the two cars is related to the rate at which the cars are traveling. Solving Related Rates Problems • Draw a diagram, if appropriate • List what you know, including the related changing quantities • Restate the problem in terms of rates of change: use mathematical notation for the changing quantities and their derivatives • Find an equation relating the changing quantities • Take the derivative with respect to time of the equation(s) to get the derived equation(s) relating the rates of change of the quantities • Substitute the known values into the derived equation(s) • Solve for the unknown derivative Ex.Ex....
View Full Document

## This note was uploaded on 09/09/2011 for the course MATH 110 taught by Professor Staff during the Spring '11 term at S.F. State.

### Page1 / 8

m110_5.4 - Related Rates To answer the question we have to...

This preview shows document pages 1 - 4. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online