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If f(x) = 5x4 - 2e, find: ƒ'(x) = f'(3)= f''(x) = f''(3) =

If f(x) = 5x4 - 2e, find: ƒ'(x) = f'(3)= f''(x) = f''(3) =

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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2.3 #4
**Problem:** If \( f(x) = 5x^4 - 2e^x \), find: 1. \( f'(x) = \) 2. \( f'(3) = \) 3. \( f''(x) = \) 4. \( f''(3) = \) **Instructions:** 1. Calculate the first derivative \( f'(x) \). 2. Evaluate \( f'(3) \) by substituting \( x = 3 \) into the first derivative. 3. Calculate the second derivative \( f''(x) \). 4. Evaluate \( f''(3) \) by substituting \( x = 3 \) into the second derivative. Fill in the blanks with your answers in the spaces provided.
Transcribed Image Text:**Problem:** If \( f(x) = 5x^4 - 2e^x \), find: 1. \( f'(x) = \) 2. \( f'(3) = \) 3. \( f''(x) = \) 4. \( f''(3) = \) **Instructions:** 1. Calculate the first derivative \( f'(x) \). 2. Evaluate \( f'(3) \) by substituting \( x = 3 \) into the first derivative. 3. Calculate the second derivative \( f''(x) \). 4. Evaluate \( f''(3) \) by substituting \( x = 3 \) into the second derivative. Fill in the blanks with your answers in the spaces provided.
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