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

Fidn an equation of the tangent line to the curve at the given point. Illustrate by graphing the curve and the tangent line on the same scree.$ y = x - \sqrt{x}, (1,0) $

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

00:46

Frank Lin

Calculus 1 / AB

Chapter 3

Differentiation Rules

Section 1

Derivatives of Polynomials and Exponential Functions

Derivatives

Differentiation

Missouri State University

Campbell University

Harvey Mudd College

University of Nottingham

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.

01:26

Find an equation of the ta…

01:12

02:14

0:00

02:56

Equation of a Tangent Line…

01:09

01:43

00:58

Find an equation of the t…

03:57

Find an equation of the st…

yet clear. So enumerators. So we have. Why is equal to X minus square root of X. You take the derivative D Y over DX, we get one minus one over two square root of X, and we plug in one. This becomes equal to 1/2. We used the point slope form. We get 1/2 X minus 1/2. Next, we're going to graph our equation. So we're gonna do our original in black, and I will look something like this then are derivative in red. What? Here is uncommon, sir.

View More Answers From This Book

Find Another Textbook

00:52

2.The Rathburn Manufacturing Company makes electric wiring, which it sells t…

04:20

Solve the following equations using the elimination method (please explain s…

01:10

The ending Retained Earnings balance of Boomer Inc. decreased by $1.0 millio…

00:54

What is the measure of a base angle of an isosceles triangle if the vertex a…

03:00

please show work and help!On the basis of data from 1990 to 2006. The median…

00:34

Super Sales Company is the exclusive distributor for a revolutionary bookbag…

02:53

During 2012 and 2013, Supplies, Inc. drove the truck 15,000 and22,000 miles,…

03:04

You want to borrow $1,000 from a friend for one year, and you propose to pay…

03:52

Simon Company's high and low level of activity last year was 60,000 uni…

02:33

The stock of Square Company is currently trading at a market price of $47.04…