# U/V Derivative Rule For Differentiation, When To Use The Quotient Rule For Differentiation

## Introduction to the Quotient Rule

The quotient rule is the last of the main rules for calculating derivatives, and it primarily deals with what happens if you have a function divided by another function and you want to take the derivative of that. So let”s start with f(x) = x / x^2. What is the derivative of f(x)? Is it just the top? Is it the bottom? Is it the derivative of the top times the derivative of the bottom? What is it? Well you could simplify this into 1 / x, and then f`(x) would then be -1 / x^2, because 1 / x is the same as x^-1. Then we just use our power rule. But is there a way to find that without simplifying? You won”t be able to simplify in every case. Think about sin(x) / x, or (x^2 + ln(x)) / cos(x). What about those cases? You need to know the quotient rule.

An error occurred trying to load this video.

Đang xem: U/v derivative rule

Try refreshing the page, or contact customer support.

## You must cCreate an account to continuewatching

### Register to view this lesson

Are you a student or a teacher?
I am a student I am a teacher

### wnyrails.org help for every kind of student

With over 30,000 video lessonsand wnyrails.org tools, you”re guaranteed to find what you needto succeed.

See also  Derivative Products And Pricing: The Das Swaps And, Derivative Definition

Video lessons

Practice questions

Test prep

College credit

Once a semester I use wnyrails.org to prepare for all my finals. After I review all of wnyrails.org’s lessons,Ifeel prepared to pass all of my classes.

Ned L.
Student
Try it now
30,000 video lessons & teaching resources‐allin one place.

Want to watch this again later?