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
find f prime of x
![The function shown in the image is:
\[ f(x) = (2x - 1)^9 (5x^2 + 3)^7 \]
This mathematical expression represents a function \( f(x) \) which is composed of two parts:
1. \((2x - 1)^9\): This part of the function shows a binomial expression \(2x - 1\) raised to the power of 9.
2. \((5x^2 + 3)^7\): This part of the function shows a quadratic expression \(5x^2 + 3\) raised to the power of 7.
This form of the expression implies that for any input value \( x \), you will first compute \(2x - 1\), raise the result to the power of 9, compute \(5x^2 + 3\), raise the result to the power of 7, and then multiply these two results together to get the value of \( f(x) \).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffe7817cb-5274-4434-90ec-13ab480c973d%2Fd3394df1-ff1e-4412-93e0-334c4fc56ebe%2Fhgatilp_processed.png&w=3840&q=75)
Transcribed Image Text:The function shown in the image is:
\[ f(x) = (2x - 1)^9 (5x^2 + 3)^7 \]
This mathematical expression represents a function \( f(x) \) which is composed of two parts:
1. \((2x - 1)^9\): This part of the function shows a binomial expression \(2x - 1\) raised to the power of 9.
2. \((5x^2 + 3)^7\): This part of the function shows a quadratic expression \(5x^2 + 3\) raised to the power of 7.
This form of the expression implies that for any input value \( x \), you will first compute \(2x - 1\), raise the result to the power of 9, compute \(5x^2 + 3\), raise the result to the power of 7, and then multiply these two results together to get the value of \( f(x) \).
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