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

Find the derivative of the function using the definition of derivative. State the domain of the function and the domain of its derivative.

$ f(x) = \dfrac{x^2 - 1}{2x - 3} $

Video Answer

Solved by verified expert

This problem has been solved!

Try Numerade free for 7 days

Like

Report

Official textbook answer

Video by Daniel Jaimes

Numerade Educator

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

Calculus 1 / AB

Chapter 2

Limits and Derivatives

Section 8

The Derivative as a Function

Limits

Derivatives

Harvey Mudd College

University of Michigan - Ann Arbor

University of Nottingham

Idaho State University

Lectures

04:40

In mathematics, the limit of a function is the value that the function gets very close to as the input approaches some value. Thus, it is referred to as the function value or output value.

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.

0:00

Find the derivative of the…

05:37

05:36

09:12

03:38

07:22

04:11

05:08

02:06

01:06

No transcript available

View More Answers From This Book

Find Another Textbook

07:57

'A garment manufacturing company recorded the amount of time that it to…

'Problem 4In games (a) and (b) given below, the payoff is for playe…

02:08

'Exercise 4.4.1 If either b < d 0 K < ad/(b d), then show that al…

02:01

'Exercise 4.3.1 Show that the unit circle is a periodic attractor for x…

02:28

'2.8 Theorem Every infinite subset of a countable set A is countable. P…

02:11

'Consider a series RLC circuit driven by a voltage source with capacito…

01:26

'A programmer writes 500 lines of computer code in 17 days. Must there …

03:32

'The integers Z with the usual add and multiply X operations form type …