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Review the chain rule in calculus, which helps differentiate composite functions like sin(x²).
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Learn how to apply the chain rule in calculus with this introductory video from Khan Academy.
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Explanation and example of the chain rule in calculus, a fundamental concept for differentiating composite functions.
Common chain rule misunderstandings (βίντεο) | Ακαδημία Khan
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Reverse chain rule example - Khan Academy
So, sine of f of x. And so when you view it this way, you say, hey, by the reverse chain rule, I have... I have a function, and I have its derivative here, so I can really just take the …
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By applying the chain rule, we differentiate this function, breaking it down into its components x³ and cos(x). This helps us understand how to handle other complex derivatives with ease. Now …
Worked example: Derivative of 7^(x²-x) using the chain rule
Sal differentiates the exponential function 7^(x²-x) using our knowledge of the derivative of aˣ and the chain rule.
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Now let's tackle a worked example of composite functions, using the example f(x) = cos³(x). By applying the chain rule, we differentiate this function, breaking it down into its components x³ …
Worked example: Derivative of √(3x²-x) using the chain rule
Μάθετε δωρεάν μαθηματικά, τέχνη, προγραμματισμό, οικονομικά, φυσική, χημεία, βιολογία, ιατρική, ιστορία, και άλλα. Η Ακαδημία Khan είναι ένας μη κερδοσκοπικός οργανισμός με …