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how fast is the ladder’s top sliding (related rates problem)

Calculus Related Rates Problem: How fast is the ladder’s top sliding? A 10-ft ladder is leaning against a house on flat ground. The house is to the left of the ladder. The base of the ladder starts to slide away from the house. When the base has slid to 8 ft from the house, it… [read more]

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Angle change as a ladder slides (related rates problem)

Calculus Related Rates Problem: At what rate does the angle change as a ladder slides away from a house? A 10-ft ladder leans against a house on flat ground. The house is to the left of the ladder. The base of the ladder starts to slide away from the house at 2 ft/s. At what… [read more]

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4 Steps to Solve Any Related Rates Problem – Part 1

Almost 90% of respondents find this blog post “very” or “extremely useful.” We hope you will too! If you’re working on a related rates problem and need help, please let us know on our Forum and we’ll do our best to assist. Are you having trouble with Related Rates problems in Calculus? Let’s break ’em… [read more]

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Update September 2022


All of our content is now free, with the goal of supporting anyone who is working to learn Calculus well.

To access our materials, please simply visit our Calculus Home screen.


Also new: we've added a forum, Community.Matheno.com, also free to use.
If you need some help with a Calculus question, please post there and we'll do our best to assist!