The 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 can apply to composing multiple functions, not just two. For example, suppose A (x) , B (x) , C (x) and D (x) are four different functions, and define f to be their composition:

The chain rule can apply to composing multiple functions, not just two. For example, suppose A (x) , B (x) , C (x) and D (x) are four different functions, and define f to be their composition:

Course: AP®︎/College Calculus AB > Unit 3 Lesson 2: The chain rule: further practice Worked example: Chain rule with table Chain rule with tables Derivative of aˣ (for any positive base a) …

Chain rule Identifying composite functions Worked example: Derivative of cos³ (x) using the chain rule Worked example: Derivative of √ (3x²-x) using the chain rule Worked example: Derivative of ln (√x) …

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 …

Let's dive into the process of differentiating a composite function, specifically f (x)=sqrt (3x^2-x), using the chain rule. By breaking down the function into its components, sqrt (x) and 3x^2-x, we …

The chain rule tells us how to find the derivative of a composite function. This is an exceptionally useful rule, as it opens up a whole world of functions (and equations!) we can now differentiate.

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Can you evaluate h (x) = f (g (x)) and find its (that's h (x)) derivative? For example, let's say f (x) = x^2 and g (x) = x+1. Then h (x) is (x+1)^2. Expanding it will result in x^2 + 2x + 1. If you find the …