Review the chain rule in calculus, which helps differentiate composite functions like sin(x²).

We tackle common misconceptions about the Chain Rule, ensuring we distinguish between product and composition of functions. We also emphasize the importance of fully applying the Chain Rule, and avoid the pitfall of taking the derivative of the outer function with respect to the derivative of the inner function.

Learn how to apply the chain rule in calculus with this introductory video from Khan Academy.

Learn how to apply the chain rule twice in calculus with Khan Academy's video tutorial.

Our mission is to provide a free, world-class education to anyone, anywhere.

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.

Learn about the chain rule in calculus and how to prove it with step-by-step explanations.

We explore the fascinating process of differentiating the function sec(3π/2-x) in this worked example. Using the chain rule and trigonometric identities, we calculate the derivative and evaluate it at x=π/4. This problem illuminates the beauty of …

If you're seeing this message, it means we're having trouble loading external resources on our website. If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked.

Using the reverse chain for (x/2)sin(2x^2 + 2)