Take the derivative of area with respect to t

The video tutorial explains the concept of derivatives with respect to time, using the area of a rectangle as an example. It introduces the product rule in calculus and demonstrates its application in deriving the rate of change of area. The tutorial concludes by deriving the final equation and highlighting the pattern in the process.

How do you express the area of a rectangle in terms of its length and width?

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What is the product rule in calculus?

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What does DA over DT represent in the context of the product rule?

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Can you explain the relationship between DL over DT and DW over DT in the product rule?

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What pattern do you notice when applying the product rule to the area of a rectangle?

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