Can someone explain related rates problems to me?

I understand what you have to do, but I don't know HOW you have to do it. If that makes sense.

2 Answers
Tony B
Dec 18, 2017

See the explanation.

Explanation:

Usually, this is based on a ratio.

Consider the following example fo a given amount of fixed time:

#("distance traveled in miles")/("the related time in minutes") =30/15 = (30xx2)/(15xx2)= 60/30#

and so on.

Jim H
Dec 18, 2017

Which part do you need help with?

Explanation:

Sketch a picture (or better yet two or three pictures at different times).
Identify the variables. (including which to keep and which to eliminate.)
Find an equation relating the variables.
Differentiate both sides of the equation with respect to #t#.
Substitute the known quantities and solve for the desired unknown quantity.

I suggest starting by looking at the examples under this topic:
https://socratic.org/calculus/applications-of-derivatives-/using-implicit-differentiation-to-solve-related-rates-problems

And then ask a particular question about a problem you are trying to solve.

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