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4. Assume that f and g are differentiable functions for which the following is known. O ƒ(0) = 1, ƒ(1) = 2, ƒ(2) = 3, and ƒ(3) = 0. o f'(0) = 0, f' (1) = 2, f'(2) = 3, and f'(3) = 1. O O g(0) = 2, g(1) = 3, g(2) = 0, and g(3) = 1. og' (0) = 1, g(1) = 0, g' (2) = 3, and g' (3) = 2. O A. Find (ƒ + g)' (3) and (ƒ — g)'(0). B. Find (fg)' (2) and (f/g)'(1). C. Find (fog)'(0) and (gof)' (2). D. Find (2ƒ – g²)′(3). -

4. Assume that f and g are differentiable functions for which the following is known. O ƒ(0) = 1, ƒ(1) = 2, ƒ(2) = 3, and ƒ(3) = 0. o f'(0) = 0, f' (1) = 2, f'(2) = 3, and f'(3) = 1. O O g(0) = 2, g(1) = 3, g(2) = 0, and g(3) = 1. og' (0) = 1, g(1) = 0, g' (2) = 3, and g' (3) = 2. O A. Find (ƒ + g)' (3) and (ƒ — g)'(0). B. Find (fg)' (2) and (f/g)'(1). C. Find (fog)'(0) and (gof)' (2). D. Find (2ƒ – g²)′(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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Please only answer Quesiton D. Thank you 

4. Assume that f and g are differentiable functions for which the following is known. o f(0) = 1, f(1) = 2, f(2)= 3, and f(3) = 0. O O o f'(0) = 0, f'(1) = 2, f' (2) = 3, and f'(3) = 1. og(0) = 2, g(1) = 3, g(2) = 0, and g(3) = 1. og' (0) = 1, g(1) = 0, g' (2) = 3, and g' (3) = 2. A. Find (f + g)'(3) and (ƒ — g)'(0). B. Find (fg)' (2) and (f/g)' (1). C. Find (fog)'(0) and (gof)' (2). D. Find (2f-g²)' (3).
Transcribed Image Text:4. Assume that f and g are differentiable functions for which the following is known. o f(0) = 1, f(1) = 2, f(2)= 3, and f(3) = 0. O O o f'(0) = 0, f'(1) = 2, f' (2) = 3, and f'(3) = 1. og(0) = 2, g(1) = 3, g(2) = 0, and g(3) = 1. og' (0) = 1, g(1) = 0, g' (2) = 3, and g' (3) = 2. A. Find (f + g)'(3) and (ƒ — g)'(0). B. Find (fg)' (2) and (f/g)' (1). C. Find (fog)'(0) and (gof)' (2). D. Find (2f-g²)' (3).
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