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Chain rule (article) | Khan Academy
https://www.khanacademy.org/math/ap-calculus-ab/ab-differentiation-2-new/ab-3-1a/a/chain-rule-review
Web ResultThe chain rule tells us how to find the derivative of a composite function. Brush up on your knowledge of composite functions, and learn how to apply the chain rule correctly. The chain rule says: d d x [ f ( g ( x))] = f ′ ( g ( x)) g ′ ( x) It tells us how to differentiate composite functions.
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3.6: The Chain Rule - Mathematics LibreTexts
https://math.libretexts.org/Bookshelves/Calculus/Calculus_(OpenStax)/03%3A_Derivatives/3.06%3A_The_Chain_Rule
Web ResultSep 7, 2022 · Recognize the chain rule for a composition of three or more functions. Describe the proof of the chain rule. We have seen the techniques for differentiating basic functions (\ (x^n,\sin x,\cos x,\) etc.) as well as sums, differences, products, quotients, and constant multiples of these functions.
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Chain Rule - Math is Fun
https://www.mathsisfun.com/calculus/chain-rule.html
Web ResultThe Chain Rule says: the derivative of f(g(x)) = f’(g(x))g’(x) The individual derivatives are: f'(g) = −1/(g 2) g'(x) = −sin(x) So: (1/cos(x))’ = −1g(x) 2 (−sin(x)) = sin(x)cos 2 (x) Note: sin(x)cos 2 (x) is also tan(x)cos(x) or many other forms.
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Chain rule - Wikipedia
https://en.wikipedia.org/wiki/Chain_rule
Web ResultIn calculus, the chain rule is a formula that expresses the derivative of the composition of two differentiable functions f and g in terms of the derivatives of f and g. More precisely, if = is the function such that () = (()) for every x, then the chain rule is, in Lagrange's notation,
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Chain rule (video) | Khan Academy
https://www.khanacademy.org/math/ap-calculus-ab/ab-differentiation-2-new/ab-3-1a/v/chain-rule-introduction
Web ResultChain rule. About. Transcript. The chain rule states that the derivative of f (g (x)) is f' (g (x))⋅g' (x). In other words, it helps us differentiate *composite functions*. For example, sin (x²) is a composite function because it can be constructed as f (g (x)) for f (x)=sin (x) and g (x)=x².
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Calculus I - Chain Rule - Pauls Online Math Notes
https://tutorial.math.lamar.edu/classes/calcI/ChainRule.aspx
Web ResultNov 16, 2022 · In this section we discuss one of the more useful and important differentiation formulas, The Chain Rule. With the chain rule in hand we will be able to differentiate a much wider variety of functions. As you will see throughout the rest of your Calculus courses a great many of derivatives you take will involve the …
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3.6 The Chain Rule - Calculus Volume 1 | OpenStax
https://openstax.org/books/calculus-volume-1/pages/3-6-the-chain-rule
Web ResultInstead, we use the chain rule, which states that the derivative of a composite function is the derivative of the outer function evaluated at the inner function times the derivative of the inner function. To put this rule into context, let’s take a look at an example: h(x) = sin(x3).
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Chain Rule - Theorem, Proof, Examples | Chain Rule Derivative
https://www.cuemath.com/chain-rule-formula/
Web ResultWhat is Chain Rule? This chain rule is also known as the outside-inside rule or the composite function rule or function of a function rule. It is used only to find the derivatives of the composite functions. The Theorem of Chain Rule: Let f be a real-valued function that is a composite of two functions g and h. i.e, f = g o h.
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2.6: Chain Rule - Mathematics LibreTexts
https://math.libretexts.org/Bookshelves/Calculus/Applied_Calculus_(Calaway_Hoffman_and_Lippman)/02%3A_The_Derivative/2.06%3A_Chain_Rule
Web ResultApr 24, 2022 · Calculus. Applied Calculus (Calaway, Hoffman and Lippman) 2: The Derivative. 2.6: Chain Rule.
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6.4: The Chain Rule - Mathematics LibreTexts
https://math.libretexts.org/Courses/Hope_College/Math_125%3A_Hope_College/06%3A_Differentiation_Rules_and_Applications/6.04%3A_The_Chain_Rule
Web ResultJun 26, 2023 · Using multiple rules simultaneously The chain rule now joins the sum, constant multiple, product, and quotient rules in our collection of the different techniques for finding the derivative of a function through understanding its algebraic structure and the basic functions that constitute it.
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