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

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
ChapterP: Prerequisites
SectionP.6: Analyzing Graphs Of Functions
Problem 6ECP: Find the average rates of change of f(x)=x2+2x (a) from x1=3 to x2=2 and (b) from x1=2 to x2=0.
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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
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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