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...
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![9.
Fill in the blanks AND give reasons for each step of the calculation.
Let y = arctan(r+ e). (This could also be written y = tan- (r + e).)
We will find its derivative.
First rewrite the equation as tan(
using the definition
of
Now apply the method of
to get
윤 tan(
On the left side of the equation we use the
to get:
sec (
Now we solve for to get =
This shows that arctan(r+ e")
%3D
If we want to, we can use trigonometry to write the final answer using only the variable r, but for
simplicity we'll leave the answer as it is.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9d5c52f5-eeda-4205-92ae-706134149552%2Fda14cf80-8470-4fed-9b7e-132576ae9c15%2F8699itf_processed.jpeg&w=3840&q=75)
Transcribed Image Text:9.
Fill in the blanks AND give reasons for each step of the calculation.
Let y = arctan(r+ e). (This could also be written y = tan- (r + e).)
We will find its derivative.
First rewrite the equation as tan(
using the definition
of
Now apply the method of
to get
윤 tan(
On the left side of the equation we use the
to get:
sec (
Now we solve for to get =
This shows that arctan(r+ e")
%3D
If we want to, we can use trigonometry to write the final answer using only the variable r, but for
simplicity we'll leave the answer as it is.
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