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.

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

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.

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 …

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) …

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:

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 …

Use the chain rule to differentiate composite functions like sin (2x+1) or [cos (x)]³.

We'll dissect the process of finding the derivative of a function like sin (x^2)^3, demonstrating the power and adaptability of the chain rule when used not just once, but twice!

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 …