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 an equation of the normal line to the curve $ y = \sqrt{x} $ that is parallel to the line $ 2x + y = 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

01:40

Frank Lin

Calculus 1 / AB

Chapter 3

Differentiation Rules

Section 1

Derivatives of Polynomials and Exponential Functions

Derivatives

Differentiation

Missouri State University

Campbell University

Baylor University

Idaho State University

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.

06:46

Find an equation of the no…

01:36

03:36

04:22

07:18

07:23

Find the normal lines to t…

01:08

Find the normal to the cur…

01:22

07:38

feuds Clear. So when you're in here so we have two X plus. Why is equal to one? We're gonna find slow. I sleep. Why? Why equals negative two X plus one on our slope is negative too. And then we get why is equal to the square root of X refunding the equation of the tension line of the given curve which is equal to X to the 1/2 power. The derivative is equal to one over two square root of X. Then we're gonna find a normal line which is negative to square root of X. This is shown when we use negative one over the derivative. Then we do Negative two squared of X is equal to negative too. We're just gonna find for X and Y X equals one. And why is equal to half of one which is equal to one? Then we're going to find the equation. This is lye minus one is equal to negative too. X minus one. Why is equal to negative two x plus three

View More Answers From This Book

Find Another Textbook

Oregon State University

Harvey Mudd College

University of Nottingham

Boston College

What is -6 times the vector (5,-6,3) ? Simplify your answer.

03:28

Approximating Function ValuesIn Exercises 43–46, use differentials to ap…

28:56

Minimum LengthA right triangle in the first quadrant has the coordinate …

01:27

Fish Population The population of a certain species of fish has a relative g…

00:44

mindy and troy combined ate 9 pieces of wedding cake. Mindy ate 3 pieces an…

02:16

Population of a city The population of a certain city was 112,000 in 2014, a…

01:13

Finance.yahoo.com reports beta for Apple,Inc. to be 1.35, as of 2-16-2016. I…

02:58

One year ago, Debra purchased 4,200 shares of KNF stock for $177,072. Today,…

04:59

Find the speed of the given curve at t=3. r(t)=(2t) i + (2) j +(1/2 t^3 + 1/…