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The number of tree species $ S $ in a given area $ A $ in the Pasoh Forest Reserve in Malaysia has been modeled by the power function
$ S(A) = 0.882A^0.842 $
where A is measured in square meters. Find $ S' (100) $ and interpret your answer.
01:47
Frank L.
Calculus 1 / AB
Chapter 3
Differentiation Rules
Section 1
Derivatives of Polynomials and Exponential Functions
Derivatives
Differentiation
Campbell University
Baylor University
University of Michigan - Ann Arbor
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Hey, it's Claire. So when you read here, you have us of A is equal to 0.882 A. To the point 84 to power. We're going to differentiate it. Using the power of all we got a 0.743 A. It is a negative 0.158 power. We substitute 100 for a We get around 0.36 maybe around two decimals. And that means there are 100 tree species in 0.36 square meters.
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