Differentiate f(x) = = f'(x) || 5 - x + 1 X x + 8 +3

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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### Problem: Differentiation of a Function

We are given a function \( f(x) \) and asked to differentiate it. Below is the function:

\[ f(x) = \sqrt{\frac{x^5 - x + 1}{x^3 + 8}} \]

### Task

Calculate the derivative, \( f'(x) \), of the function \( f(x) \).

### Instructions

1. Analyze the function given.
2. Use appropriate rules of differentiation, such as the chain rule and quotient rule where applicable.
3. Submit your answer in the box provided.

### Interactive Element

- **Submit Answer Button**: Click this button to submit your calculated derivative for verification.

### Navigation

- **Viewing Saved Work**: You can view your saved responses.
- **Revert to Last Save**: If needed, revert to the previous version of your saved work.

Use the space below to input your derivative and ensure your answer is simplified.
Transcribed Image Text:### Problem: Differentiation of a Function We are given a function \( f(x) \) and asked to differentiate it. Below is the function: \[ f(x) = \sqrt{\frac{x^5 - x + 1}{x^3 + 8}} \] ### Task Calculate the derivative, \( f'(x) \), of the function \( f(x) \). ### Instructions 1. Analyze the function given. 2. Use appropriate rules of differentiation, such as the chain rule and quotient rule where applicable. 3. Submit your answer in the box provided. ### Interactive Element - **Submit Answer Button**: Click this button to submit your calculated derivative for verification. ### Navigation - **Viewing Saved Work**: You can view your saved responses. - **Revert to Last Save**: If needed, revert to the previous version of your saved work. Use the space below to input your derivative and ensure your answer is simplified.
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