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Proof of Product, Quotient and Chain Rule | Differentiation | Part 8

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Summary: a video walkthrough of A-level maths content on more sophisticated rules for differentiating non-trivial functions (functions formed by amalgamating two functions in different ways), including the proofs of all the results
Topics: the rule for differentiating a product of two functions where each function in the product is differentiable, the rule for differentiating a (well-defined) quotient of two functions where each function in the quotient is differentiable, and the rule for differentiating the composition of two functions where each function in the composition is differentiable
Content: product rule proof, product rule example, quotient rule proof, quotient rule example, chain rule proof, chain rule example
Time Stamps:
00:00 Summary of Standard Rules
03:16 Product Rule
14:15 Example 1
19:46 Quotient Rule
31:27 Example 2
37:22 Chain Rule
48:49 Example 3
#RevisionZone #RevisionZoneMaths
*** About Us ***
We make educational videos on GCSE and A-level content. For now, we are focussing on making videos on A-level chemistry and maths. However, we will be making videos on other subjects, particularly other STEM subjects, in the future. Our aim is to create a comprehensive library of videos to help you reach your academic potential.
We value education. We think that there is no substitute for good thinking. And, we believe that the purpose of a good education is to instil in students the capacity to think. To achieve this, we make long videos. This allows us to communicate the subject at a depth which will help you really understand the content. The ability to manipulate a concept is a higher-order thinking skill compared to the capacity to just recite information.
Topics: the rule for differentiating a product of two functions where each function in the product is differentiable, the rule for differentiating a (well-defined) quotient of two functions where each function in the quotient is differentiable, and the rule for differentiating the composition of two functions where each function in the composition is differentiable
Content: product rule proof, product rule example, quotient rule proof, quotient rule example, chain rule proof, chain rule example
Time Stamps:
00:00 Summary of Standard Rules
03:16 Product Rule
14:15 Example 1
19:46 Quotient Rule
31:27 Example 2
37:22 Chain Rule
48:49 Example 3
#RevisionZone #RevisionZoneMaths
*** About Us ***
We make educational videos on GCSE and A-level content. For now, we are focussing on making videos on A-level chemistry and maths. However, we will be making videos on other subjects, particularly other STEM subjects, in the future. Our aim is to create a comprehensive library of videos to help you reach your academic potential.
We value education. We think that there is no substitute for good thinking. And, we believe that the purpose of a good education is to instil in students the capacity to think. To achieve this, we make long videos. This allows us to communicate the subject at a depth which will help you really understand the content. The ability to manipulate a concept is a higher-order thinking skill compared to the capacity to just recite information.
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