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3 Find f'(x) for f(x) = (x² +2) °. O A. f'(x) = 6x° + 24x° + 24x 5 3 O B. f'(x) = 3x° + 24x° + 24x 5 OC. f'(x) = 6x° +20x° + 24x ,5 O D. f'(x) = 6x + 12x° + 12x

3 Find f'(x) for f(x) = (x² +2) °. O A. f'(x) = 6x° + 24x° + 24x 5 3 O B. f'(x) = 3x° + 24x° + 24x 5 OC. f'(x) = 6x° +20x° + 24x ,5 O D. f'(x) = 6x + 12x° + 12x

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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**Problem:** Find \( f'(x) \) for \( f(x) = (x^2 + 2)^3 \). **Options:** - **A.** \( f'(x) = 6x^5 + 24x^3 + 24x \) - **B.** \( f'(x) = 3x^5 + 24x^3 + 24x \) - **C.** \( f'(x) = 6x^5 + 20x^3 + 24x \) - **D.** \( f'(x) = 6x^5 + 12x^3 + 12x \) The task is to differentiate the function given by \( f(x) = (x^2 + 2)^3 \) and select the correct option that represents \( f'(x) \).
Transcribed Image Text:**Problem:** Find \( f'(x) \) for \( f(x) = (x^2 + 2)^3 \). **Options:** - **A.** \( f'(x) = 6x^5 + 24x^3 + 24x \) - **B.** \( f'(x) = 3x^5 + 24x^3 + 24x \) - **C.** \( f'(x) = 6x^5 + 20x^3 + 24x \) - **D.** \( f'(x) = 6x^5 + 12x^3 + 12x \) The task is to differentiate the function given by \( f(x) = (x^2 + 2)^3 \) and select the correct option that represents \( f'(x) \).
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