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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 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.

It's hard to get, it's hard to get too far in calculus without really grokking, really understanding the chain rule. So what I want to do here is, well if this is true, then can't we go the other way around?

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 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 …

Chain rule Learn Chain rule Worked example: Derivative of cos³ (x) using the chain rule

And there's a special rule for this, it's called the chain rule, the multivariable chain rule, but you don't actually need it. So, let's actually walk through this, showing that you don't need it. It's not that you'll …

This understanding is crucial to get the most out of the Chain Rule. We'll explore how functions can be composed, and even how they can be expressed as products, setting a strong foundation for …

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.