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Find the given higher-order derivative. 1. f'(x) = 5x? f''(x) = 2. f''(x) = 5 – - f"(#) = 3. f'(x) = 2/T fª(x) =

Find the given higher-order derivative. 1. f'(x) = 5x? f''(x) = 2. f''(x) = 5 – - f"(#) = 3. f'(x) = 2/T fª(x) =

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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**Question 13** **Find the given higher-order derivative.** 1. \( f'(x) = 5x^2 \) \( f''(x) = \) [Textbox] 2. \( f''(x) = 5 - \frac{5}{x} \) \( f'''(x) = \) [Textbox] 3. \( f'''(x) = 2\sqrt{x} \) \( f^4(x) = \) [Textbox] 4. \( f^4(x) = 5x + 2 \) \( f^6(x) = \) [Textbox] **Question Help:** [Post to forum] **[Submit Question]**
Transcribed Image Text:**Question 13** **Find the given higher-order derivative.** 1. \( f'(x) = 5x^2 \) \( f''(x) = \) [Textbox] 2. \( f''(x) = 5 - \frac{5}{x} \) \( f'''(x) = \) [Textbox] 3. \( f'''(x) = 2\sqrt{x} \) \( f^4(x) = \) [Textbox] 4. \( f^4(x) = 5x + 2 \) \( f^6(x) = \) [Textbox] **Question Help:** [Post to forum] **[Submit Question]**
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Note: As per company guidelines we are supposed to solve only 1 question or 3 subaprts. So, kindly repost other questions

 

Given f'(x)=5x2We know that ddx(xn)=nxn-1f''(x)=2*5x        =10xTherefore f''(x)=10x

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