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

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

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

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 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) …

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 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.

Course: Grade 12 Math - Pakistan National Curriculum > Unit 14 Lesson 3: Chain rule Chain rule proof Chain rule Chain rule Chain rule overview Common chain rule misunderstandings