Tutorial Exercise Find an equation of the tangent line to the curve at the point (2, 0). y = In(x3 - 7) Part 1 of 5 Recall that to find the equation of a line with slope m through a point (xo, Yo), we can use y - Yo = m(x – xo). For y = f(x), the slope of the tangent line at (Xo, Yo) is given by m = f '(xo). Note that y = In(x³ - 7) is a composition, and so we must use the Chain Rule IMo(x))] = f '(g(x))g'(x) to find its derivative. The "inside" function is x3 - 7 and the "outside" function is 3x2 7 | In r Part 2 of 5 1 The derivative of y = In x is y' = x3 - 7 and the derivative of x³ - 7 is In(x)
Tutorial Exercise Find an equation of the tangent line to the curve at the point (2, 0). y = In(x3 - 7) Part 1 of 5 Recall that to find the equation of a line with slope m through a point (xo, Yo), we can use y - Yo = m(x – xo). For y = f(x), the slope of the tangent line at (Xo, Yo) is given by m = f '(xo). Note that y = In(x³ - 7) is a composition, and so we must use the Chain Rule IMo(x))] = f '(g(x))g'(x) to find its derivative. The "inside" function is x3 - 7 and the "outside" function is 3x2 7 | In r Part 2 of 5 1 The derivative of y = In x is y' = x3 - 7 and the derivative of x³ - 7 is In(x)
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
Related questions
Topic Video
Question
Can you please help me with this question
![Tutorial Exercise
Find an equation of the tangent line to the curve at the point (2, 0).
y = In(x3 - 7)
Part 1 of 5
Recall that to find the equation of a line with slope m through a point (xo, Yo), we can use
y - Yo = m(x – xo). For y = f(x), the slope of the tangent line at (Xo, Yo) is given by m = f '(xo).
Note that y = In(x³ – 7) is a composition, and so we must use the Chain Rule flg(x))] = f '(g(x))g'(x) to
find its derivative.
3x
The "inside" function is x - 7 and the "outside" function is
X-
7
In r
Part 2 of 5
1
The derivative of y = In x is y' = 3 _ 7
x3 -
and the derivative of x - 7 is In(x)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa216c9ee-ecac-40ec-b583-a361985d4bbd%2F2a6b5a4a-9d3b-4875-83e1-73a43fea23c9%2Fmc2f8yd_processed.png&w=3840&q=75)
Transcribed Image Text:Tutorial Exercise
Find an equation of the tangent line to the curve at the point (2, 0).
y = In(x3 - 7)
Part 1 of 5
Recall that to find the equation of a line with slope m through a point (xo, Yo), we can use
y - Yo = m(x – xo). For y = f(x), the slope of the tangent line at (Xo, Yo) is given by m = f '(xo).
Note that y = In(x³ – 7) is a composition, and so we must use the Chain Rule flg(x))] = f '(g(x))g'(x) to
find its derivative.
3x
The "inside" function is x - 7 and the "outside" function is
X-
7
In r
Part 2 of 5
1
The derivative of y = In x is y' = 3 _ 7
x3 -
and the derivative of x - 7 is In(x)
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 images
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.Recommended textbooks for you
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning