Given the following functions: f(u) = tan(u) and g(x) = x'. Find: f(g(x)) = tan(x^7) f' (u) = sec(u)^2 f'(g(x)) =| 14*x^6*sec(x^7)^2*tan(> g' (x) = 7x^6 (f° g)'(x) = 84*x^5*sec(7*x^6)^2*tar
Given the following functions: f(u) = tan(u) and g(x) = x'. Find: f(g(x)) = tan(x^7) f' (u) = sec(u)^2 f'(g(x)) =| 14*x^6*sec(x^7)^2*tan(> g' (x) = 7x^6 (f° g)'(x) = 84*x^5*sec(7*x^6)^2*tar
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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Question
f'(g(x)) = ?
(fog)'(x) = ?
![Given the following functions: f(u) = tan(u) and g(x) = x'. Find:
f(g(x)) = tan(x^7)
f' (u) = sec(u)^2
f'(g(x)) = 14*"x^6*sec(x^7)^2*tan(x
%3D
g' (x) = 7x^6
(f • g)'(x) = 84*x^5*sec(7*x^6)^2*tar](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffe70859f-d1ee-4d19-93f5-d3c21b44393e%2Fa7dc0ea8-0abb-4327-967d-b0d069a4d51c%2F5vpb4yq_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Given the following functions: f(u) = tan(u) and g(x) = x'. Find:
f(g(x)) = tan(x^7)
f' (u) = sec(u)^2
f'(g(x)) = 14*"x^6*sec(x^7)^2*tan(x
%3D
g' (x) = 7x^6
(f • g)'(x) = 84*x^5*sec(7*x^6)^2*tar
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