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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Question
![1
Show that In (x + √√x² + 1) = √2² + 1²
dx
1
d
d
& In (x + √√x² + 1) = x + √√x² + 1/ (
dx
dx
-√2/1
x + √x² + 1
1
x + √√√x² + 1
1
= x+√x² +1
1
x² + 1
1 +
2√√√√x² + 1
+1
x² + 1
+
√x² + 1
X
+1](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9b15a2e4-841f-4430-ad46-9439390435a9%2F53f2f188-1b73-4a8b-9f67-6a9a9124073a%2Fmh9yqv4_processed.png&w=3840&q=75)
Transcribed Image Text:1
Show that In (x + √√x² + 1) = √2² + 1²
dx
1
d
d
& In (x + √√x² + 1) = x + √√x² + 1/ (
dx
dx
-√2/1
x + √x² + 1
1
x + √√√x² + 1
1
= x+√x² +1
1
x² + 1
1 +
2√√√√x² + 1
+1
x² + 1
+
√x² + 1
X
+1
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