Chain Rule Math

It is useful when finding the derivative of a function that is raised to the nth power. It tells us how to differentiate composite functions. In calculus the chain rule is a formula for determining the derivative of a composite function.

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The counterpart of the chain rule in integration is the substitution rule.

Chain rule math. The general power rule the general power rule is a special case of the chain rule. This tutorial presents the chain rule and a specialized version called the generalized power rule. Brush up on your knowledge of composite functions and learn how to apply the chain rule correctly. Given that two functions f and g are differentiable the chain rule can be used to express the derivative of their composite f g also written as f g x.

The chain rule can be used to derive some well known differentiation rules. The chain rule tells us how to find the derivative of a composite function. For example the quotient rule is a consequence of the chain rule and the product rule to see this write the function f x g x as the product f x 1 g x first apply the product rule. The general power rule states that this derivative is n times the function raised to the n 1 th power times the derivative of the function.