The product rule is a common rule for the differentiating problems where one function is multiplied by another function. Learn how to apply this product rule in differentiation along with the example at BYJU’S.

The product rule tells us the derivative of two functions f and g that are multiplied together: (fg)’ = fg’ + gf’ (The little mark ’ means "derivative of".)

In abstract algebra, the product rule is the defining property of a derivation. In this terminology, the product rule states that the derivative operator is a derivation on functions.

Product rule in calculus is a method to find the derivative or differentiation of a function given in the form of a ratio or division of two differentiable functions. Understand the method using the product rule formula and derivations.

2021年2月15日 · The Product Rule. Simply put, the term “product” means two functions are being multiplied together. Discovered by Gottfried Leibniz, this rule allows us to calculate derivatives that we don’t want (or can’t) multiply quickly.

The product rule is a formula that is used to find the derivative of the product of two or more functions. Given two differentiable functions, f (x) and g (x), where f' (x) and g' (x) are their respective derivatives, the product rule can be stated as, or using abbreviated notation: The product rule can be expanded for more functions.

2022年11月16日 · To differentiate products and quotients we have the Product Rule and the Quotient Rule. If the two functions \ (f\left ( x \right)\) and \ (g\left ( x \right)\) are differentiable (i.e. the derivative exist) then the product is differentiable and,

2024年8月5日 · The product rule states that if a function is the product of the two functions then the derivative of the function is the sum of the product of the first function and the derivative of the second function, with the product of the second function and the derivative of the first function.

2023年4月28日 · What is the product rule? The product rule is a formula that allows you to differentiate a product of two functions; If where u and v are functions of x then the product rule is:

2022年7月25日 · Learn the product rule formula, and practice finding the derivative of a function using product rule examples.