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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.

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.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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
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