The chain rule can be applied to trigonometric functions raised to a power. Write the trigonometric function as the inner function in brackets and the power as the outer function.

Nov 16, 2022 · In this section we discuss one of the more useful and important differentiation formulas, The Chain Rule. With the chain rule in hand we will be able to differentiate a much …

Instead, we use the chain rule, which states that the derivative of a composite function is the derivative of the outer function evaluated at the inner function times the derivative of the inner …

Example: Sage the Dog can run 3 times faster than you, and you can run 2 times faster than me, so Sage can run 3 × 2 = 6 times faster than me. Let's use some notation. Call the dog "y", me …

In calculus, the chain rule is a formula that expresses the derivative of the composition of two differentiable functions f and g in terms of the derivatives of f and g.

Nov 1, 2025 · Chain rule states that the derivative of composite function f (g (x)) is f' (g (x))⋅ g' (x). In other words, Cos (4x), is a composite function and it can be written as f (g (x)) where f (x) = …

Nov 18, 2024 · Master the chain rule in calculus with our complete guide. Learn how to find derivatives of composite functions with 15+ examples, step-by-step solutions, and practice …

Master The Chain Rule with free video lessons, step-by-step explanations, practice problems, examples, and FAQs. Learn from expert tutors and get exam-ready!

Basic examples that show how to use the chain rule to calculate the derivative of the composition of functions.

Here, we will look at a summary of the chain rule. Additionally, we will explore several examples with answers to understand the application of the chain rule formula.