Find the second derivative of f(x) = 9 sin (2x). Enclose arguments of functions in parentheses. For example, sin (2x). f" (2)

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:**

Find the second derivative of \( f(x) = 9 \sin(2x) \).

*Note:* Enclose arguments of functions in parentheses. For example, \(\sin(2x)\).

**Solution:**

\[ f''(x) = \underline{\hspace{2em}} \]

_Instruction:_ Two icons are depicted to perform specific functions:
1. The first icon (represented by a document) indicates an option to preview or expand further text.
2. The second icon (represented by a document with a magnifying glass) suggests an option for detailed analysis or step-by-step guidance.

- **f''(x):** This is the notation for the second derivative of the function \(f(x)\).

**Objective:** 

Enter the correct second derivative of the given function in the provided answer box adhering to mathematical notation and formatting, with each step to be checked or expanded upon using the described icons if necessary.
Transcribed Image Text:**Problem Statement:** Find the second derivative of \( f(x) = 9 \sin(2x) \). *Note:* Enclose arguments of functions in parentheses. For example, \(\sin(2x)\). **Solution:** \[ f''(x) = \underline{\hspace{2em}} \] _Instruction:_ Two icons are depicted to perform specific functions: 1. The first icon (represented by a document) indicates an option to preview or expand further text. 2. The second icon (represented by a document with a magnifying glass) suggests an option for detailed analysis or step-by-step guidance. - **f''(x):** This is the notation for the second derivative of the function \(f(x)\). **Objective:** Enter the correct second derivative of the given function in the provided answer box adhering to mathematical notation and formatting, with each step to be checked or expanded upon using the described icons if necessary.
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