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
Question
![Find the derivative of y with respect to x.
58)y tan (In 2x)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa5d86a5a-c9de-43ee-b17a-803cfeaffc47%2Fe4f2380b-7eb7-4674-bec0-3a510d4c273e%2F0lrpvo8.jpeg&w=3840&q=75)
Transcribed Image Text:Find the derivative of y with respect to x.
58)y tan (In 2x)
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
Step 1
Firstly, we use the result that derivative of inverse of tan of x is 1/1+x^2
![y tan(n 2x
dy
d
1
(tan (In 2x)) 1+ (In 2.x) d
(In 2x)
dx d](https://content.bartleby.com/qna-images/answer/a5d86a5a-c9de-43ee-b17a-803cfeaffc47/f3e566be-3731-4c8f-b488-6e5c3538b8ee/e6dt4h.png)
Step 2
Then we use the result that derivative of lnx is 1/x
![dy
d
(In 2x)
1
1
(2.x)
2x) dr
1+(h 2x)
(1+(h2x)
dx](https://content.bartleby.com/qna-images/answer/a5d86a5a-c9de-43ee-b17a-803cfeaffc47/f3e566be-3731-4c8f-b488-6e5c3538b8ee/1m102vj.png)
Step by step
Solved in 4 steps with 4 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
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