# How do you explain the product rule?

## How do you explain the product rule?

The Product Rule says that the derivative of a product of two functions is the first function times the derivative of the second function plus the second function times the derivative of the first function. The Product Rule must be utilized when the derivative of the quotient of two functions is to be taken.

What is a definition of a product rule in algebra?

The product rule lets us multiply exponents more easily. It states the product of two exponent terms with the same base is the base raised to the sum of the exponents.

How do you apply product rule?

What is the Product rule? Basically, you take the derivative of f multiplied by g, and add f multiplied by the derivative of g.

### What is the product law of exponents?

The Product of Powers Property states when we multiply two powers with the same base, we add the exponents.

What is the product rule for law of exponents?

The product rule states that if two factors raised to an exponent are being multiplied together, and they have the same base, we can add the exponents.

When should we use product rule?

The product rule is used in calculus when you are asked to take the derivative of a function that is the multiplication of a couple or several smaller functions. In other words, a function f(x) is a product of functions if it can be written as g(x)h(x), and so on.

#### What is the product rule Grade 9?

What are the two conditions of the Product Rule? The powers have to be multiplied together. The bases of the powers have to be the same. The powers have to be multiplied together.

What is the product rule of exponents and give an example?

Solutions. The product rule states that if two factors raised to an exponent are being multiplied together, and they have the same base, we can add the exponents. In this example, x and x 3 are our two factors. Factors are the numbers that multiply together to make another number or expression.

How do you know if product rule or chain rule?

We use the chain rule when differentiating a ‘function of a function’, like f(g(x)) in general. We use the product rule when differentiating two functions multiplied together, like f(x)g(x) in general. Take an example, f(x) = sin(3x).