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3. The derivative of a function is given by f'(x) = -63x² - 12x + 18. Give 3 different functions tha could have resulted in this derivative. Show all work.

3. The derivative of a function is given by f'(x) = -63x² - 12x + 18. Give 3 different functions tha could have resulted in this derivative. Show all work.

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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Can you provide answers for all 3 questions? 

5. 4. 3. could have resulted in this derivative. Show all work. The derivative of a function is given by f'(x) = -63x² - 12x + 18. Give 3 different functions that a. b. 1. Selected values of f, g, and their derivatives are given in the table. f(x) f'(x) g(x) 1 -2 -5 -3 11 8 X Motion Along a Line -3 -1 2 5 8 11 Let (x) = Let h(x) = f(x) · g(x). Find h' (11). h(x)= = 10 4 f (x) g(x) 1 -2 -5 5 Find j'(-3). -1 -3 0 2 7 13 g'(x) 3 0 -2 8 -3.5 1 Find a second degree polynomial of the form ax² + bx+c such that f(0) = 5, f'(0) = -5, and f"(0) = 10. +9x-
Transcribed Image Text:5. 4. 3. could have resulted in this derivative. Show all work. The derivative of a function is given by f'(x) = -63x² - 12x + 18. Give 3 different functions that a. b. 1. Selected values of f, g, and their derivatives are given in the table. f(x) f'(x) g(x) 1 -2 -5 -3 11 8 X Motion Along a Line -3 -1 2 5 8 11 Let (x) = Let h(x) = f(x) · g(x). Find h' (11). h(x)= = 10 4 f (x) g(x) 1 -2 -5 5 Find j'(-3). -1 -3 0 2 7 13 g'(x) 3 0 -2 8 -3.5 1 Find a second degree polynomial of the form ax² + bx+c such that f(0) = 5, f'(0) = -5, and f"(0) = 10. +9x-
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