Consider the functions. f(u) = u³ + u g(x) = cos (x) Find the following function and derivatives. (Express numbers in exact form. Use symbolic notation and fractions where needed.) f(g(x)) = f' (u) = f'(g(x)) = g'(x) = (f • g) : %3D

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(u)
g(x) = cos (x)
= u° + u
Find the following function and derivatives.
(Express numbers in exact form. Use symbolic notation and fractions where needed.)
f(g(x)) =
f' (u) =
f' (g(x)) =
g'(x) =
%3D
(f • g)' =
Transcribed Image Text:Consider the functions. f(u) g(x) = cos (x) = u° + u Find the following function and derivatives. (Express numbers in exact form. Use symbolic notation and fractions where needed.) f(g(x)) = f' (u) = f' (g(x)) = g'(x) = %3D (f • g)' =
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