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
For the part circled in green, how did we get 1/2(t)^1/2 ?
![11:53
Answered: entiation to find the de...
https://www.bartleby.com/questions-and-ans..
= bartleby
A Q&A I 8
Math / Calcul... / Q&A Libr... / entiation to find the derivati.
entiation to find the derivativ 10 A. In 5t ...
•..
Answer:
5t vi
Vi
dy
(In(t) + 1)
dt
Step 2
Given, y =
5t vi
Taking logarithm on both sides we have,
In(y) =
In(5t vî)
→ In(y) = In(5) + Vfi. In(t)
Now differentiating with respect to t , we have
0+n(1) + Vi. +
1 dy
_ 1
y dt
(1)
(GIn(t) + 1)
()-
1 dy
I In
+
Vi
y dt
5t vi
Vi
dy
dt
Which doesn't match any of the options. Option-D
matches except for the first term inside the bracket. It
seems the extra 5 in (In(5t) + 1) is a typo. The
dy
5t Vi
answer must be
dt
(In(t) + 1)
Vi
II](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F61b75115-d70f-4fe2-af93-2076876ad69a%2F875b7e1a-317b-4a57-be60-002c70d9bd16%2Fdtiffu_processed.jpeg&w=3840&q=75)
Transcribed Image Text:11:53
Answered: entiation to find the de...
https://www.bartleby.com/questions-and-ans..
= bartleby
A Q&A I 8
Math / Calcul... / Q&A Libr... / entiation to find the derivati.
entiation to find the derivativ 10 A. In 5t ...
•..
Answer:
5t vi
Vi
dy
(In(t) + 1)
dt
Step 2
Given, y =
5t vi
Taking logarithm on both sides we have,
In(y) =
In(5t vî)
→ In(y) = In(5) + Vfi. In(t)
Now differentiating with respect to t , we have
0+n(1) + Vi. +
1 dy
_ 1
y dt
(1)
(GIn(t) + 1)
()-
1 dy
I In
+
Vi
y dt
5t vi
Vi
dy
dt
Which doesn't match any of the options. Option-D
matches except for the first term inside the bracket. It
seems the extra 5 in (In(5t) + 1) is a typo. The
dy
5t Vi
answer must be
dt
(In(t) + 1)
Vi
II
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 4 steps with 4 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
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](https://www.bartleby.com/isbn_cover_images/9781285741550/9781285741550_smallCoverImage.gif)
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
![Thomas' Calculus (14th Edition)](https://www.bartleby.com/isbn_cover_images/9780134438986/9780134438986_smallCoverImage.gif)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
![Calculus: Early Transcendentals (3rd Edition)](https://www.bartleby.com/isbn_cover_images/9780134763644/9780134763644_smallCoverImage.gif)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
![Calculus: Early Transcendentals](https://www.bartleby.com/isbn_cover_images/9781285741550/9781285741550_smallCoverImage.gif)
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
![Thomas' Calculus (14th Edition)](https://www.bartleby.com/isbn_cover_images/9780134438986/9780134438986_smallCoverImage.gif)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
![Calculus: Early Transcendentals (3rd Edition)](https://www.bartleby.com/isbn_cover_images/9780134763644/9780134763644_smallCoverImage.gif)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
![Calculus: Early Transcendentals](https://www.bartleby.com/isbn_cover_images/9781319050740/9781319050740_smallCoverImage.gif)
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
![Precalculus](https://www.bartleby.com/isbn_cover_images/9780135189405/9780135189405_smallCoverImage.gif)
![Calculus: Early Transcendental Functions](https://www.bartleby.com/isbn_cover_images/9781337552516/9781337552516_smallCoverImage.gif)
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning