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
![The handwritten mathematical expression in the image is:
\[ f(x) = (3 - 5)^{4} \]
This expression defines a function \( f(x) \) where the input value \( x \) is not directly involved in the equation. The expression calculates the result of \( (3 - 5) \) raised to the power of 4. Specifically, it involves the following steps:
1. Subtract 5 from 3, which equals -2.
2. Raise -2 to the fourth power, which involves multiplying -2 by itself four times:
\[ (-2)^4 = (-2) \times (-2) \times (-2) \times (-2) = 16 \]
Thus, the function \( f(x) = 16 \), as the operations result in the constant value of 16 regardless of \( x \). There are no graphs or diagrams associated with this expression in the image.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0f9e4cd1-015a-4a96-a677-2fe562598422%2Fc69b4da7-eb70-4c8f-864f-2f4ef9d0f375%2F48mkchp_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The handwritten mathematical expression in the image is:
\[ f(x) = (3 - 5)^{4} \]
This expression defines a function \( f(x) \) where the input value \( x \) is not directly involved in the equation. The expression calculates the result of \( (3 - 5) \) raised to the power of 4. Specifically, it involves the following steps:
1. Subtract 5 from 3, which equals -2.
2. Raise -2 to the fourth power, which involves multiplying -2 by itself four times:
\[ (-2)^4 = (-2) \times (-2) \times (-2) \times (-2) = 16 \]
Thus, the function \( f(x) = 16 \), as the operations result in the constant value of 16 regardless of \( x \). There are no graphs or diagrams associated with this expression in the image.
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