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Math
Calculus
h(w) = -9w-8 +16/w

h(w) = -9w-8 +16/w

College Algebra
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
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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.
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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