College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
ChapterP: Prerequisites
SectionP.7: Rational Expressions
Problem 95E
Related questions
Question
find the derivative
![The given mathematical function is:
\[ h(w) = -9w^{-8} + 16\sqrt{w} \]
### Explanation:
- **Term 1**: \(-9w^{-8}\)
- This represents a term where \( w \) is raised to the power of \(-8\).
- The coefficient is \(-9\), indicating it is a negative term.
- **Term 2**: \(16\sqrt{w}\)
- This represents a term involving the square root of \( w \).
- The coefficient is \(16\), indicating it is a positive term.
This function combines a negative power of \( w \) and a square root, highlighting concepts of exponent rules and roots.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc076a9b0-0448-4725-9806-e2628b347801%2F1b668ce8-f722-4cba-8503-425aa7bf469d%2Ftcx4snu_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The given mathematical function is:
\[ h(w) = -9w^{-8} + 16\sqrt{w} \]
### Explanation:
- **Term 1**: \(-9w^{-8}\)
- This represents a term where \( w \) is raised to the power of \(-8\).
- The coefficient is \(-9\), indicating it is a negative term.
- **Term 2**: \(16\sqrt{w}\)
- This represents a term involving the square root of \( w \).
- The coefficient is \(16\), indicating it is a positive term.
This function combines a negative power of \( w \) and a square root, highlighting concepts of exponent rules and roots.
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