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 expression in the image is:
\[ e^x - 3^x - \frac{1}{\sqrt[7]{x}} + x^2 - 7x + \pi^2 \]
This expression consists of several mathematical components:
1. **Exponential term**: \( e^x \)
2. **Exponential term**: \( 3^x \)
3. **Fractional term**: \( \frac{1}{\sqrt[7]{x}} \) represents the reciprocal of the seventh root of \( x \).
4. **Polynomial terms**:
- \( x^2 \) is a quadratic term.
- \(-7x\) is a linear term.
5. **Constant term**: \( \pi^2 \) is the square of the mathematical constant pi.
This expression combines different types of functions including exponential, radical, and polynomial components.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F028f9fb7-1c19-4c4c-a0ef-3b56d1a3dafb%2F9c317904-4d82-4873-b2e3-c453ff3abc5b%2F1ucnhdn_processed.png&w=3840&q=75)
Transcribed Image Text:The expression in the image is:
\[ e^x - 3^x - \frac{1}{\sqrt[7]{x}} + x^2 - 7x + \pi^2 \]
This expression consists of several mathematical components:
1. **Exponential term**: \( e^x \)
2. **Exponential term**: \( 3^x \)
3. **Fractional term**: \( \frac{1}{\sqrt[7]{x}} \) represents the reciprocal of the seventh root of \( x \).
4. **Polynomial terms**:
- \( x^2 \) is a quadratic term.
- \(-7x\) is a linear term.
5. **Constant term**: \( \pi^2 \) is the square of the mathematical constant pi.
This expression combines different types of functions including exponential, radical, and polynomial components.
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