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 the derivative of each function. Can you show me the answer simplified and not simplfied?
![The function is defined as:
\[ f(x) = (2x - 3x^3 - 4x^4)^5 \]
This expression represents a polynomial raised to the power of 5. It consists of the terms \(2x\), \(-3x^3\), and \(-4x^4\) inside the parentheses, which collectively are raised to the fifth power, illustrating a compound polynomial expression. There are no graphs or diagrams associated with this function in the image.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa32a331a-44ec-4e8d-a40f-5fbd27452f88%2Fe96af670-e0f0-4a35-aaf1-ffea7706bf70%2Faic4ir_processed.png&w=3840&q=75)
Transcribed Image Text:The function is defined as:
\[ f(x) = (2x - 3x^3 - 4x^4)^5 \]
This expression represents a polynomial raised to the power of 5. It consists of the terms \(2x\), \(-3x^3\), and \(-4x^4\) inside the parentheses, which collectively are raised to the fifth power, illustrating a compound polynomial expression. There are no graphs or diagrams associated with this function in the image.
![The image contains the mathematical equation:
\[ y = |3x^3 + 5x| \]
This represents a function where \( y \) is the absolute value of the expression \( 3x^3 + 5x \). In this equation, \( x \) is the variable. The absolute value ensures that the output \( y \) is always positive or zero, regardless of the values of \( x \).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa32a331a-44ec-4e8d-a40f-5fbd27452f88%2Fe96af670-e0f0-4a35-aaf1-ffea7706bf70%2Fr0aotrq_processed.png&w=3840&q=75)
Transcribed Image Text:The image contains the mathematical equation:
\[ y = |3x^3 + 5x| \]
This represents a function where \( y \) is the absolute value of the expression \( 3x^3 + 5x \). In this equation, \( x \) is the variable. The absolute value ensures that the output \( y \) is always positive or zero, regardless of the values of \( x \).
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