Given the following functions: f(u) = u/2 and g(x) = x10 + 1. Find: f(g(x)) = f'(u) = f'(g(x)) = g(x) = (f o g)'(x) =

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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**Given the following functions**: 

\[ f(u) = u^{9/2} \]  
\[ g(x) = x^{10} + 1 \]

**Find**:

\[ f(g(x)) = \]

\[ f'(u) = \]

\[ f'(g(x)) = \]

\[ g'(x) = \]

\[ (f \circ g)'(x) = \]
Transcribed Image Text:**Given the following functions**: \[ f(u) = u^{9/2} \] \[ g(x) = x^{10} + 1 \] **Find**: \[ f(g(x)) = \] \[ f'(u) = \] \[ f'(g(x)) = \] \[ g'(x) = \] \[ (f \circ g)'(x) = \]
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