Use the fact that y = 4 + 2 and y = log4 (x - 2) are inverses of each other to find dy for y = log4 (x - 2) using the Inverse Function Theorem, showing your process. da Then check that you got the correct derivative using other differentiation rules, showing your process.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.5: Transformation Of Functions
Problem 4SE: When examining the formula of a function that is the result of multiple transformations, how can you...
icon
Related questions
Question

I am looking for help on the top bullet point that begin with: Use the fact that y=4^x+2.....

Use the fact that y - 4ª + 2 and
y = log, (z − 2) ar
4ª + 2 and y = log₁ (x − 2) are inverses of each other to find
dy
for y = log, (x − 2) using the Inverse Function Theorem, showing your process.
Then check that you got the correct derivative using other differentiation rules,
showing your process.
Imagine you have a sibling, cousin, child, or friend who is taking this class in a couple
years, and you are helping them with their homework. They are having a hard time
understanding the difference between the two computations limand
$($) Explain to them what each of these two computations are used for, and
how we do each of them, and why we choose that process for each. What do they
have in common, that might be contributing to the confusion here? How can you
clarify the differences?
C
DELL
Transcribed Image Text:Use the fact that y - 4ª + 2 and y = log, (z − 2) ar 4ª + 2 and y = log₁ (x − 2) are inverses of each other to find dy for y = log, (x − 2) using the Inverse Function Theorem, showing your process. Then check that you got the correct derivative using other differentiation rules, showing your process. Imagine you have a sibling, cousin, child, or friend who is taking this class in a couple years, and you are helping them with their homework. They are having a hard time understanding the difference between the two computations limand $($) Explain to them what each of these two computations are used for, and how we do each of them, and why we choose that process for each. What do they have in common, that might be contributing to the confusion here? How can you clarify the differences? C DELL
Expert Solution
steps

Step by step

Solved in 3 steps

Blurred answer
Recommended textbooks for you
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning