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 For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.CR: Chapter 4 Review
Problem 47CR
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Can you please answer this question
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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