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.

To get the derivative of the whole function chain, we need the relation k/h, which we can get by multiplying cos (x) by the derivative of the second function cos (x)*k/ (cos (x)*h)=k/h.

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.

This is not really a mathematically legitimate thing to do, since these " d x " and " d (sin (x)) " terms are not numbers or functions that we can cancel out. There are ways to make this more legitimate that …

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.

This is not really a mathematically legitimate thing to do, since these " d x " and " d (sin (x)) " terms are not numbers or functions that we can cancel out. There are ways to make this more legitimate that …

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 …

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) …

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)