1 3x (2x + = + ₁). x+1 Find k'(x) if k(x) = 3x (2x + Provide your answer below: k'(x) =

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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### Calculus Problem: Derivative of a Function

**Problem Statement:**
Find \( k'(x) \) if \( k(x) = 3x \left( 2x + \frac{1}{x + 1} \right) \).

**Solution:**
Provide your answer in the box below:

\[ k'(x) = \boxed{} \]

**Instructions:**
- Use differentiation rules to find the derivative of the given function \( k(x) \).
- Remember to apply the product rule, chain rule, and any other relevant differentiation techniques.
- Simplify your answer completely.
Transcribed Image Text:### Calculus Problem: Derivative of a Function **Problem Statement:** Find \( k'(x) \) if \( k(x) = 3x \left( 2x + \frac{1}{x + 1} \right) \). **Solution:** Provide your answer in the box below: \[ k'(x) = \boxed{} \] **Instructions:** - Use differentiation rules to find the derivative of the given function \( k(x) \). - Remember to apply the product rule, chain rule, and any other relevant differentiation techniques. - Simplify your answer completely.
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