11 Nov 2021
Problem 42c
Page 221
Section 3.6: Inverse Trigonometric Function and Their Derivatives
Chapter 3: Differentiation Rules
Textbook ExpertVerified Tutor
11 Nov 2021
Given information
Given:
The function
Step-by-step explanation
Step 1.
Consider the provided function 
.
.Also derivative of the function is 
.
.Now, derivative of the function at 
is,
is,
It is found that 
.
.Recall that if 
which is a one-to-one differentiable function and the inverse of the function 
is also differentiable then 
provided that denominator is not equal to 
.
which is a one-to-one differentiable function and the inverse of the function is also differentiable then provided that denominator is not equal to .
Single Variable Calculus: Early Transcendentals
4th Edition, 2018
Stewart
ISBN: 9781337687805
Solutions
Chapter
Section
- Problem 1a
- Problem 1b
- Problem 2a
- Problem 2b
- Problem 3a
- Problem 3b
- Problem 4a
- Problem 4b
- Problem 5
- Problem 6
- Problem 7
- Problem 8
- Problem 9
- Problem 10
- Problem 11
- Problem 12
- Problem 13
- Problem 14
- Problem 15
- Problem 16a
- Problem 16b
- Problem 17
- Problem 18
- Problem 19
- Problem 20
- Problem 21
- Problem 22
- Problem 23
- Problem 24
- Problem 25
- Problem 26
- Problem 27
- Problem 28
- Problem 29
- Problem 30
- Problem 31
- Problem 32
- Problem 33
- Problem 34
- Problem 35
- Problem 36
- Problem 37
- Problem 38
- Problem 39
- Problem 40
- Problem 41a
- Problem 41b
- Problem 42a
- Problem 42b
- Problem 42c
- Problem 43a
- Problem 43b
- Problem 44a
- Problem 44b
- Problem 44c
- Problem 44d