What is the definition of a quotient in math?

Definition of quotient

1 : the number resulting from the division of one number by another.

What is quotient example?

Quotient is the answer obtained when we divide one number by another. For example, if we divide the number 6 by 3, we get the result as 2, which is the quotient. The quotient can be an integer or a decimal number.

What is quotient answer?

When you divide two numbers the answer is called the quotient. The quotient of six divided by two is three. Quotient comes from Latin and means “how many times.” That makes a lot of sense: if you divide one number by a second, you are figuring out “how many times” the second number goes into the first.

How do you find the quotient?

dividend ÷ divisor = quotient. Example: in 12 ÷ 3 = 4, 4 is the quotient.

What’s another word for quotient?

In this page you can discover 10 synonyms, antonyms, idiomatic expressions, and related words for quotient, like: result, outcome, remainder, monomial, cardinality, multiplicative, eigenvalue, computation, nilpotent and modulo.

What is a quotient in a division problem?

The number that is being divided (in this case, 15) is called the dividend, and the number that it is being divided by (in this case, 3) is called the divisor. The result of the division is the quotient.

How do you write a quotient in standard form?

What is quotient and remainder?

The number which we divide is called the dividend. … The number by which we divide is called the divisor. The result obtained is called the quotient. The number left over is called the remainder.

What is the quotient rule in calculus?

The Quotient Rule in Words

The Quotient Rule says that the derivative of a quotient is the denominator times the derivative of the numerator minus the numerator times the derivative of the denominator, all divided by the square of the denominator.

Does a quotient include the remainder?

Quotient And Remainder

When you compute the quotient in division, you may end up with a remainder. The result of division is called the quotient. The number left over is called the remainder. The remainder is part of the result.

How do you find the quotient in simplest form?

Why do we use quotient rule?

The quotient rule is useful when trying to find the derivative of a function that is divided by another function. As long as both functions have derivatives, the quotient rule tells us that the final derivative is a specific combination of both of the original functions and their derivatives.

How do you use the quotient rule?

When can you use quotient rule?

You want to use the quotient rule when you have one function divided by another function and you’re taking the derivative of that, such as u / v.

What is the quotient when 25 is divided by 5?

5
25 divided by 5 is 5.

What is the difference quotient formula?

FAQs on Difference Quotient Formula

The difference quotient formula is nothing but the slope of a secant line formula. The difference quotient of a function y = f(x) is given by [ f(x + h) – f(x) ] / h.

How do you solve a quotient with fractions?

What is derivative of U V?

If y= u / v. Then, derivative of u/v will be; dy/dx =d(u/v)/dx.

What is a normal line in calculus?

The normal line to a curve at a particular point is the line through that point and perpendicular to the tangent. … A person might remember from analytic geometry that the slope of any line perpendicular to a line with slope m is the negative reciprocal −1/m.

How do you get the H out of the denominator?

Multiply top and bottom by the conjugate of the numerator. This will rationalize the numerator and you can cancel h’s.