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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SOLVE THE DERIVATIVE
![**Equation 14 Explanation:**
The given equation is:
\[ y = a^3 + \cos^3x \]
This equation comprises two components:
1. **\( a^3 \):** This term indicates a constant, \( a \), raised to the power of three. The value of \( a \) can be any constant and is often determined based on the context of the problem.
2. **\( \cos^3x \):** This term represents the cosine of \( x \), also raised to the power of three. The cosine function is a fundamental trigonometric function, which varies based on the angle \( x \). The value of \( \cos^3x \) will oscillate between -1 and 1, affecting the overall value of \( y \).
Together, these components show how the equation combines a constant cubic term with a trigonometric component to determine the value of \( y \) for any given \( x \).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3d3b999f-40bc-4397-b918-1b796d12487f%2Fd2bea849-7231-49ee-aba8-e1c8bf061cd8%2Fsbtv5kt_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Equation 14 Explanation:**
The given equation is:
\[ y = a^3 + \cos^3x \]
This equation comprises two components:
1. **\( a^3 \):** This term indicates a constant, \( a \), raised to the power of three. The value of \( a \) can be any constant and is often determined based on the context of the problem.
2. **\( \cos^3x \):** This term represents the cosine of \( x \), also raised to the power of three. The cosine function is a fundamental trigonometric function, which varies based on the angle \( x \). The value of \( \cos^3x \) will oscillate between -1 and 1, affecting the overall value of \( y \).
Together, these components show how the equation combines a constant cubic term with a trigonometric component to determine the value of \( y \) for any given \( x \).
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