Download the App!

Get 24/7 study help with the Numerade app for iOS and Android! Enter your email for an invite.

Question

Answered step-by-step

Differentiate.

$ G(x) = \frac {x^2 - 2}{2x + 1} $

Video Answer

Solved by verified expert

This problem has been solved!

Try Numerade free for 7 days

Like

Report

Official textbook answer

Video by Clarissa Noh

Numerade Educator

This textbook answer is only visible when subscribed! Please subscribe to view the answer

00:26

Frank Lin

Calculus 1 / AB

Chapter 3

Differentiation Rules

Section 2

The Product and Quotient Rules

Derivatives

Differentiation

Harvey Mudd College

Idaho State University

Boston College

Lectures

04:40

In mathematics, a derivative is a measure of how a function changes as its input changes. Loosely speaking, a derivative can be thought of as how much one quantity is changing in response to changes in some other quantity; for example, the derivative of the position of a moving object with respect to time is the object's velocity. The concept of a derivative developed as a way to measure the steepness of a curve; the concept was ultimately generalized and now "derivative" is often used to refer to the relationship between two variables, independent and dependent, and to various related notions, such as the differential.

44:57

In mathematics, a differentiation rule is a rule for computing the derivative of a function in one variable. Many differentiation rules can be expressed as a product rule.

00:52

Differentiate the function…

01:00

01:33

Differentiate.$$G(x)=\…

02:21

04:35

Differentiate.$$g(x)=\…

02:03

07:02

Differentiate.$$g(…

00:50

Differentiate.$$g(x)=e…

he is clear, so inhumane here. So we have G of X is equal to X square minus two over two x plus one. We're gonna differentiate using the quotient rule when we get to X plus one D over D X X square minus two minus X square minus two D over T x two X plus one all over two X plus one square. This is equal to four x square plus two x minus two X square plus four all over two X plus one square just becomes equal to two x square plus two x plus four all over two x plus one square, and you could factor up the two, which becomes X square plus X plus two all over two x plus one square.

View More Answers From This Book

Find Another Textbook