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Find f', f'', f''' and f (4) for the function. f(x) = x° + 3 + 3x + 1 %3D f'(x) = Preview f''(x) = Preview f'''(x) 3D Preview f(4) (z) Preview

Find f', f'', f''' and f (4) for the function. f(x) = x° + 3 + 3x + 1 %3D f'(x) = Preview f''(x) = Preview f'''(x) 3D Preview f(4) (z) Preview

Calculus: Early Transcendentals
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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**Instructions:** Find \( f', f'', f''', \) and \( f^{(4)} \) for the function. Given: \[ f(x) = x^6 + 3x^5 + 3x + 1 \] **To solve, find each derivative:** 1. **First Derivative: \( f'(x) \)** - Differentiate the function \( f(x) \). 2. **Second Derivative: \( f''(x) \)** - Differentiate \( f'(x) \). 3. **Third Derivative: \( f'''(x) \)** - Differentiate \( f''(x) \). 4. **Fourth Derivative: \( f^{(4)}(x) \)** - Differentiate \( f'''(x) \). **Input your answers in the text boxes and click "Preview" to verify.** **Graphical Content:** There are no graphs or diagrams included in this exercise.
Transcribed Image Text:**Instructions:** Find \( f', f'', f''', \) and \( f^{(4)} \) for the function. Given: \[ f(x) = x^6 + 3x^5 + 3x + 1 \] **To solve, find each derivative:** 1. **First Derivative: \( f'(x) \)** - Differentiate the function \( f(x) \). 2. **Second Derivative: \( f''(x) \)** - Differentiate \( f'(x) \). 3. **Third Derivative: \( f'''(x) \)** - Differentiate \( f''(x) \). 4. **Fourth Derivative: \( f^{(4)}(x) \)** - Differentiate \( f'''(x) \). **Input your answers in the text boxes and click "Preview" to verify.** **Graphical Content:** There are no graphs or diagrams included in this exercise.
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