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 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 …

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.

Unit 3: Derivatives: chain rule and other advanced topics 1,600 possible mastery points Mastered Proficient

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 …

Let's explore multiple strategies to tackle derivatives involving both the product and chain rules. We start by applying the chain rule first, then the product rule.

Through a worked example, we explore the Chain rule with a table. Using specific x-values for functions f and g, and their derivatives, we collaboratively evaluate the derivative of a composite function F (x) …

Review all the common derivative rules (including Power, Product, and Chain rules).

Proving the chain rule for derivatives. The chain rule tells us how to find the derivative of a composite function:

Chain rule with tables AP.CALC: FUN‑3 (EU), FUN‑3.C (LO), FUN‑3.C.1 (EK) Google Classroom Microsoft Teams