Download the App!

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

Sent to:
Search glass icon
  • Login
  • Textbooks
  • Ask our Educators
  • Study Tools
    Study Groups Bootcamps Quizzes AI Tutor iOS Student App Android Student App StudyParty
  • For Educators
    Become an educator Educator app for iPad Our educators
  • For Schools

Problem

Let $ f(x) = cx + \ln(\cos x). $ For what value o…

00:54

Question

Answered step-by-step

Problem 36 Hard Difficulty

Find equations of the tangent lines to the curve $ y = (\ln x)/x $ at the points (1, 0) and $ (e, 1/e). $ Illustrate by graphing the curve and its tangent lines.


Video Answer

Solved by verified expert

preview
Numerade Logo

This problem has been solved!

Try Numerade free for 7 days

Doruk Isik
Numerade Educator

Like

Report

Textbook Answer

Official textbook answer

Video by Doruk Isik

Numerade Educator

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

More Answers

01:53

Frank Lin

Related Courses

Calculus 1 / AB

Calculus: Early Transcendentals

Chapter 3

Differentiation Rules

Section 6

Derivatives of Logarithmic Functions

Related Topics

Derivatives

Differentiation

Discussion

You must be signed in to discuss.
Top Calculus 1 / AB Educators
Heather Zimmers

Oregon State University

Caleb Elmore

Baylor University

Samuel Hannah

University of Nottingham

Joseph Lentino

Boston College

Calculus 1 / AB Courses

Lectures

Video Thumbnail

04:40

Derivatives - Intro

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.

Video Thumbnail

44:57

Differentiation Rules - Overview

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.

Join Course
Recommended Videos

06:18

Find equations of the tang…

04:24

Find equations of the tang…

05:09

Find the equation of the t…

01:39

Find the equations of the …

02:12

Find the equation of the t…

01:29

Find an equation of the ta…

01:22

Find the equations of the …

03:39

Find an equation of the ta…

03:37

determine an equation of t…

02:05

Determine the equation of …

Watch More Solved Questions in Chapter 3

Problem 1
Problem 2
Problem 3
Problem 4
Problem 5
Problem 6
Problem 7
Problem 8
Problem 9
Problem 10
Problem 11
Problem 12
Problem 13
Problem 14
Problem 15
Problem 16
Problem 17
Problem 18
Problem 19
Problem 20
Problem 21
Problem 22
Problem 23
Problem 24
Problem 25
Problem 26
Problem 27
Problem 28
Problem 29
Problem 30
Problem 31
Problem 32
Problem 33
Problem 34
Problem 35
Problem 36
Problem 37
Problem 38
Problem 39
Problem 40
Problem 41
Problem 42
Problem 43
Problem 44
Problem 45
Problem 46
Problem 47
Problem 48
Problem 49
Problem 50
Problem 51
Problem 52
Problem 53
Problem 54
Problem 55
Problem 56

Video Transcript

if this problem were given a function. Why, as natural look affects the line by ex that were given teeth points and where are the questions off tension lines that passes through the first given set of points and second set of points. Now we know that the question of potential in you for a while in this point of physical, through derivative you want that given point times explains Excellent. So you personally to find a wayto dysfunction Why Prime of X, uh, revenge this school circle. So it'll be there. We talked to function in a new writer months by ancient denominator minus functioning numerator most by five records Continent, you know, nature divided by function in your spirit. So we can write this one as then 11 Distinction. Look off extra by experience. A less away the derivative at given for inside. So when exports and one exit e when it says one, we find everything to be one on one Instruction will afford one. That is, since that you look upon it. Zero Eredivisie one also excited to eat. We find every two as 11 is natural logo He divided by each for natural ago. Physical 11 minus one is zero. So their return order slope at this 00.0 All right, since we know very motives now let's find the questions off dependent lines. We have one witness. Zero is equal to one times experts for promised The first things that line is why is it would explain. And the 2nd 1? We have one minus one over. Eat the soup of the zero times exports E. So from this, we see that the question of things like this. Then why is he so? It will be just and horizontal line. All right. Here. This given red skirt is orginal function. Why this green present? A line is Why's it e? And this blue line is a straight line, and that is the first tension line is you can see its first things like this. Um, engine director at this given 0.10 Also, this is what X is equal to B y Z before

Get More Help with this Textbook
James Stewart

Calculus: Early Transcendentals

View More Answers From This Book

Find Another Textbook

Study Groups
Study with other students and unlock Numerade solutions for free.
Math (Geometry, Algebra I and II) with Nancy
Arrow icon
Participants icon
153
Hosted by: Ay?Enur Çal???R
Math (Algebra 2 & AP Calculus AB) with Yovanny
Arrow icon
Participants icon
68
Hosted by: Alonso M
See More

Related Topics

Derivatives

Differentiation

Top Calculus 1 / AB Educators
Heather Zimmers

Oregon State University

Caleb Elmore

Baylor University

Samuel Hannah

University of Nottingham

Joseph Lentino

Boston College

Calculus 1 / AB Courses

Lectures

Video Thumbnail

04:40

Derivatives - Intro

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.

Video Thumbnail

44:57

Differentiation Rules - Overview

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.

Join Course
Recommended Videos

06:18

Find equations of the tangent lines to the curve $ y = (\ln x)/x $ at the point…

04:24

Find equations of the tangent lines to the curve $y=(\ln x) / x$ at the points…

05:09

Find the equation of the tangent line to the curve y = (2 ln(x))/x at the point…

01:39

Find the equations of the tangent lines to the graph of $y=\ln |x|$ at $x=1$ an…

02:12

Find the equation of the tangent line to the curve y = x ln x at the point x = …

01:29

Find an equation of the tangent line to the given curve at the specified point.…

01:22

Find the equations of the tangent lines to the following curves at the indicate…

03:39

Find an equation of the tangent line to the graph of $y=x(\ln x)^{x}$ at $x=e$

03:37

determine an equation of the tangent line to the function at the given point. $…

02:05

Determine the equation of the tangent to the curve $y=e^{-x}$ at the point wher…

Add To Playlist

Hmmm, doesn't seem like you have any playlists. Please add your first playlist.

Create a New Playlist

`

Share Question

Copy Link

OR

Enter Friends' Emails

Report Question

Get 24/7 study help with our app

 

Available on iOS and Android

About
  • Our Story
  • Careers
  • Our Educators
  • Numerade Blog
Browse
  • Bootcamps
  • Books
  • Notes & Exams NEW
  • Topics
  • Test Prep
  • Ask Directory
  • Online Tutors
  • Tutors Near Me
Support
  • Help
  • Privacy Policy
  • Terms of Service
Get started