Use the rule of differentiation to find the derivative of the given functions 1. y = (4x - 1)5
Use the rule of differentiation to find the derivative of the given functions 1. y = (4x - 1)5
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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![### Calculus: Differentiation of Functions
Use the rule of differentiation to find the derivative of the given functions:
1. \( y = (4x - 1)^5 \)
2. \( f(x) = \sqrt[3]{6x^2 + 1} \)
3. \( g(x) = \left( \frac{1}{x-3} \right)^2 \)
Explore the methods of differentiation to solve these equations, including the power rule, chain rule, and others where applicable.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F52a0c9f6-ada1-431f-830a-3fbdcbca3339%2Fde510694-32ef-47d9-8ae5-37f3df935a6b%2Fipe6h8_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Calculus: Differentiation of Functions
Use the rule of differentiation to find the derivative of the given functions:
1. \( y = (4x - 1)^5 \)
2. \( f(x) = \sqrt[3]{6x^2 + 1} \)
3. \( g(x) = \left( \frac{1}{x-3} \right)^2 \)
Explore the methods of differentiation to solve these equations, including the power rule, chain rule, and others where applicable.
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