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

Differentiate the function. $ y = \log_2 (x \l…

03:49

Question

Answered step-by-step

Problem 21 Easy Difficulty

Differentiate the function.

$ y = \tan [\ln (ax + b)] $


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

00:33

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
Kristen Karbon

University of Michigan - Ann Arbor

Samuel Hannah

University of Nottingham

Michael Jacobsen

Idaho State University

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

01:10

Differentiate the function…

01:02

Differentiate the given fu…

01:01

Differentiate the function…

01:01

Differentiate.
$$y=\arc…

02:14

Differentiate the function…

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

This problem were to find derivative tangent of natural log of x, plus b, so the outer function after oppression here is tangent and inner 1 is natural law. So why checking derivative we're going to start from the outer 1 thereat of tangent is secant squared of natural log of x, plus b. Now we're going to multiply this by derivative of the inner operation or inner function, which is natural log of a of p. We know that this is equal to 1 over a x plus b times an so. The answer is that second spread of natural log of x, plus, b times a divided by a x plus b, were actually we can take this constant and write it here. Southat, for the answer would be a times: secant square of natural log of x, plus b, divided by a times x, plus b,

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
129
Hosted by: Ay?Enur Çal???R
Math (Algebra 2 & AP Calculus AB) with Yovanny
Arrow icon
Participants icon
63
Hosted by: Alonso M
See More

Related Topics

Derivatives

Differentiation

Top Calculus 1 / AB Educators
Kristen Karbon

University of Michigan - Ann Arbor

Samuel Hannah

University of Nottingham

Michael Jacobsen

Idaho State University

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

01:10

Differentiate the function. $$ y=\tan [\ln (a x+b)] $$

01:02

Differentiate the given function and simplify the answer whenever possible.. $$…

01:01

Differentiate the function. $$y=\tan x^{2}$$

01:01

Differentiate. $$y=\arctan (\ln x)$$

02:14

Differentiate the function. $$ y=\ln \frac{x^{a}}{b^{x}} $$
Additional Mathematics Questions

01:50

The length of a rectangle is two more than the width; FIne perimeter of the …

01:07

1. A hand rail is installed along the stairs of a new house as shown in the …

02:41

The equation for line g can be written as y ~ 1 (x + 8). Parallel to line g …

01:12

The table below gives the amount of time students in a class studied for a t…

01:34

The length of each side of a regular pentagon is 6.4 cm to decimal place a) …

01:51

The triangle below is equilateral. Find the length of side x in simplest rad…

01:58

3. Square PQRS with vertices P(-5, 4), Q(2,8). R(6, 1), and S(-1,,-3): (2, -…

02:49

2 The base of a triangle is 3cm longer than ItS corresponding height: Ifthe …

01:45

3) Line segment CD has endpoints at C(-6,9) ad D(2,15) . If the perpendicula…

02:30

Find the equation of the line symmetry of the triangle graphed below:
8(-…

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