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26 Oct 2021
Problem 1c
Page 214
Section 3.5: Implicit differentiation
Chapter 3: Differentiation Rules
Textbook ExpertVerified Tutor
26 Oct 2021
Given information
Note that the derivative of the function 
by explicit differentiation is 
and by implicit differentiation is 
.
Step-by-step explanation
Step 1.
Take the derivative of the function that is by explicit differentiation it is and by implicit differentiation it is .
Now, to verify that derivative obtained implicitly and explicitly is the same substitute the value of 
from the function in the value of derivative found by implicit differentiation.
Take the function and isolate the value of on the left-hand side of the above equation.
Single Variable Calculus: Early Transcendentals
4th Edition, 2018
Stewart
ISBN: 9781337687805
Solutions
Chapter
Section
- Problem 1a
- Problem 1b
- Problem 1c
- Problem 2a
- Problem 2b
- Problem 2c
- Problem 3
- Problem 4
- Problem 5
- Problem 6
- Problem 7
- Problem 8
- Problem 9
- Problem 10
- Problem 11
- Problem 12
- Problem 13
- Problem 14
- Problem 15
- Problem 16
- 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 29a
- Problem 29b
- Problem 30a
- Problem 30b
- Problem 30c
- Problem 31
- Problem 32
- Problem 33
- Problem 34
- Problem 35
- Problem 36
- Problem 37a
- Problem 37b
- Problem 37b
- Problem 37c
- Problem 37d
- Problem 38a
- Problem 38b
- Problem 39
- Problem 39
- Problem 40
- Problem 41
- Problem 42
- Problem 43
- Problem 44
- Problem 45
- Problem 46
- Problem 47a
- Problem 47b
- Problem 48a
- Problem 48b
- Problem 48c
- Problem 49
- Problem 50
- Problem 51
- Problem 52a
- Problem 52b
- Problem 53
- Problem 54
- Problem 55a
- Problem 55b
- Problem 56