If R denotes the reaction of the body to some stimulus of strength æ, the sensitivity S is defined to be the rate of change of the reaction with respect to æ. A particular example is that when the brightness æ of a light source is increased, the eye reacts by decreasing the area R of the pupil. The experimental formula 40 + 24,0.4 1+ 420.4 R(x) = has been used to model the dependence of R on a when R is measured in sq mm and æ is measured in the appropriate units of brightnes Find the sensitivity. R'(x) =

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Author:James Stewart, Lothar Redlin, Saleem Watson
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Chapter3: Polynomial And Rational Functions
Section3.1: Quadratic Functions And Models
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If R denotes the reaction of the body to some stimulus of strength æ, the sensitivity S is defined to be the rate of change of the reaction with respect to æ.
particular example is that when the brightness æ of a light source is increased, the eye reacts by decreasing the area R of the pupil. The experimental formula
40 + 24x0.4
R(x) =
has been used to model the dependence of R on æ when Ris measured in sq mm and æ is measured in the appropriate units of brightness.
%3D
1+ 4x0.4
Find the sensitivity.
R'(x) =
Transcribed Image Text:If R denotes the reaction of the body to some stimulus of strength æ, the sensitivity S is defined to be the rate of change of the reaction with respect to æ. particular example is that when the brightness æ of a light source is increased, the eye reacts by decreasing the area R of the pupil. The experimental formula 40 + 24x0.4 R(x) = has been used to model the dependence of R on æ when Ris measured in sq mm and æ is measured in the appropriate units of brightness. %3D 1+ 4x0.4 Find the sensitivity. R'(x) =
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