11 Nov 2021
Problem 43a
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 expression 
Step-by-step explanation
Step 1.
Consider the function 
.
.Now the derivative of the function is 
.
.For the function , take inverse on both the sides and differentiate both sides with respect to 
,
, take inverse on both the sides and differentiate both sides with respect to ,
.Recall that if 
which is a one-to-one differentiable function and the inverse of the function 
provided that the denominator is not equal to 
which is a one-to-one differentiable function and the inverse of the function provided that the denominator is not equal to Apply it.
Remember your Pythagorean identity.
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