2 Let f(x) = √3x² + 3x + 2 f'(x) = ƒ'(1): = OF

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 Statement:**

Let \( f(x) = \sqrt{3x^2 + 3x + 2} \).

1. \( f'(x) = \) [Input box]
2. \( f'(1) = \) [Input box]

**Instructions:**

- Compute the derivative of the function \( f(x) \) and enter it in the input box provided.
- Evaluate the derivative at \( x = 1 \) and enter the result in the input box provided.
Transcribed Image Text:**Problem Statement:** Let \( f(x) = \sqrt{3x^2 + 3x + 2} \). 1. \( f'(x) = \) [Input box] 2. \( f'(1) = \) [Input box] **Instructions:** - Compute the derivative of the function \( f(x) \) and enter it in the input box provided. - Evaluate the derivative at \( x = 1 \) and enter the result in the input box provided.
Expert Solution
Step 1

Topic - Derivative of  a function

We are given,

f(x)=3x2+3x+2Formulas usedChain rule: ddxf(g(x))=f'(g(x))g'(x)Powe rule:ddxxn=nxn-1

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