In calculus, the product rule (or Leibniz rule or Leibniz product rule) is a formula used to find the derivatives of products of two or more functions...

The triple product rule, known variously as the cyclic chain rule, cyclic relation, cyclical rule or Euler's chain rule, is a formula which relates partial...

In combinatorics, the rule of product or multiplication principle is a basic counting principle (a.k.a. the fundamental principle of counting). Stated...

non-trigonometric functions: a common technique involves first using the substitution rule with a trigonometric function, and then simplifying the resulting integral...

the general Leibniz rule, named after Gottfried Wilhelm Leibniz, generalizes the product rule (which is also known as "Leibniz's rule"). It states that...

the antiderivative of a product of functions into an antiderivative for which a solution can be more easily found. The rule can be thought of as an integral...

is also known as the work-product rule, the work-product immunity, the work-product exception, and the work-product privilege, though there is debate...

In mathematics, the cross product or vector product (occasionally directed area product, to emphasize its geometric significance) is a binary operation...

Leibniz integral rule – Differentiation under the integral sign formula Product rule – Formula for the derivative of a product Quotient rule – Formula for...

differentiation – Calculus property Product rule – Formula for the derivative of a product Reciprocal rule – differentiation rulePages displaying wikidata descriptions...

In probability theory, the chain rule (also called the general product rule) describes how to calculate the probability of the intersection of, not necessarily...

chemistry, Zaytsev's rule (or Zaitsev's rule, Saytzeff's rule, Saytzev's rule) is an empirical rule for predicting the favored alkene product(s) in elimination...

In mathematics, the dot product or scalar product is an algebraic operation that takes two equal-length sequences of numbers (usually coordinate vectors)...

then }}a=0{\text{ or }}b=0.} This property is also known as the rule of zero product, the null factor law, the multiplication property of zero, the nonexistence...

\mathbf {B} )\end{aligned}}} We have the following generalizations of the product rule in single-variable calculus. ∇ ( ψ ϕ ) = ϕ ∇ ψ + ψ ∇ ϕ ∇ ( ψ A ) = (...

Leibniz's rule (named after Gottfried Wilhelm Leibniz) may refer to one of the following: Product rule in differential calculus General Leibniz rule, a generalization...

triple product and, less often, the vector-valued vector triple product. The scalar triple product (also called the mixed product, box product, or triple...

readily deduce the quotient rule from the reciprocal rule and the product rule. The reciprocal rule states that if f is differentiable at a point x and...

organic chemistry, Markovnikov's rule or Markownikoff's rule describes the outcome of some addition reactions. The rule was formulated by Russian chemist...

led to the prevalent adoption of the right-hand rule in the contemporary contexts. The cross product of vectors a → {\displaystyle {\vec {a}}} and b →...

slope. In particular, this notation is powerful because the gradient product rule looks very similar to the 1d-derivative case: ∇ ( f g ) = f ∇ g + g ∇...

Belief propagation, also known as sum–product message passing, is a message-passing algorithm for performing inference on graphical models, such as Bayesian...

to: The product rule General Leibniz rule, a generalization of the product rule Identity of indiscernibles Leibniz (disambiguation) Leibniz's rule (disambiguation)...

functions. For constant rule and sum rule, see Apostol 1967, p. 161, 164, respectively. For the product rule, quotient rule, and chain rule, see Varberg, Purcell...

the product rule and the reciprocal rule. The elementary power rule generalizes considerably. The most general power rule is the functional power rule: for...

portal Chain rule Differentiation of integrals Leibniz rule (generalized product rule) Reynolds transport theorem, a generalization of Leibniz rule Protter...

\mathbf {F} +\varphi (\nabla \cdot \mathbf {F} ).} Another product rule for the cross product of two vector fields F and G in three dimensions involves...

one-dimensional quadrature rule, but performs a more sophisticated combination of univariate results. However, whereas the tensor product rule guarantees that the...

Hofmann product, is formed. This tendency, known as the Hofmann alkene synthesis rule, is in contrast to usual elimination reactions, where Zaitsev's rule predicts...

products. In the following, mainly atomic and molecular transitions are considered. In quantum mechanics the basis for a spectroscopic selection rule...