Q:

# What is the triple product rule?

A:

The triple product rule is essentially a generalization of the product rule in calculus. The product rule is a formula used to find the derivatives of two or more functions. The triple product rule follows the same operation as the product rule, but applied in multiple steps.

## Keep Learning

According to TutorVista, the product rule serves as a way to differentiate functions that are being multiplied by one another. When two functions are multiplied together, the product's derivative equals the first function multiplied by the derivative of the second, added to the second function multiplied by the derivative of the first function.

Product rules and derivatives can be difficult to analyze and prove, but the triple product rule makes finding solutions a bit easier. Using the triple product rule, it is possible to find the quotients of partial derivatives, which are easier to work with than the partial derivatives themselves. The quotients can then be used to find an equation solution through the process of substitution.

The triple product rule is frequently used in thermodynamics, where three variables grouped together are often found to be interdependent. The triple product rule is also known as Euler's chain rule, the cyclical rule and cyclic relation.

Sources:

## Related Questions

• A: The midpoint rule of calculus is a method for approximating the value of the area under the graph during numerical integration. This is one of several rule... Full Answer >
Filed Under:
• A: The law of supply and demand is an unwritten rule which states that if there is little demand for a product, the supply will be less, and the price will be... Full Answer >
Filed Under:
• A: The mathematical property associated with ln x + ln y is the product rule of natural logarithms, expressed as ln(x ? y) = ln(x) + ln(y). The rule is used f... Full Answer >
Filed Under:
• A: The function of ln(x*1) can be expressed using the product rule as ln(x) + ln(1). The function of ln(x^1) can use the power rule to result in 1 x ln(x).... Full Answer >
Filed Under:
PEOPLE SEARCH FOR