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Consider the functions f(x) = 7 arcsin (2x) g(x) = 14arctan (a) Find the derivatives of f(x) and g(x). f'(x) = g'(x) = 1 + 2x 1 - 2x (b) Show that there is a constant C so that f(x) = g(x) + C. State which theorem you are using. (c) Find C. C =

Consider the functions f(x) = 7 arcsin (2x) g(x) = 14arctan (a) Find the derivatives of f(x) and g(x). f'(x) = g'(x) = 1 + 2x 1 - 2x (b) Show that there is a constant C so that f(x) = g(x) + C. State which theorem you are using. (c) Find C. C =

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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Consider the functions f(x) = 7 arcsin (2x) g(r)=14arctan (a) Find the derivatives of f(x) and g(x). f'(x) = g'(x) = 1/² ) C = 1 + 2x 1 - 2x (b) Show that there is a constant C so that f(x) = g(x) + C. State which theorem you are using. (c) Find C.
Transcribed Image Text:Consider the functions f(x) = 7 arcsin (2x) g(r)=14arctan (a) Find the derivatives of f(x) and g(x). f'(x) = g'(x) = 1/² ) C = 1 + 2x 1 - 2x (b) Show that there is a constant C so that f(x) = g(x) + C. State which theorem you are using. (c) Find C.
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