Derivative Rules - Proof of the Product Rule

in MES Science4 months ago (edited)

In this video I prove the very useful product rule which says that the derivative of a product of the 2 functions is the first function multiplied the derivative of the second function added to the derivative of the first function multiplied by the second function.

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Derivative Rules

Derivative Rules - Product Rule Thumbnail

Proof of the Product Rule

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Example 1: f(x) = x·ex

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Example 2: f(x) = sin(x)·x3

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Great work.

https://reddit.com/r/AMAZINGMathStuff/comments/13n1kk1/derivative_rules_proof_of_the_product_rule/
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