Question

If R denotes the reaction of the body to some stimulus of strength x, the sensitivity S is defined to be the rate of change of the reaction with respect to x. A particular example is that when the brightness x of a light source is increased, the eye reacts by decreasing the area R of the pupil. The experimental formula R = (43 + 17x^6) / (1 + 0.3x^6) can be used to model the dependence of R on x when R is measured in square millimeters and x is measured in appropriate units of brightness. Find the sensitivity corresponding to x = 2. Sensitivity =

          If R denotes the reaction of the body to some stimulus of strength x, the sensitivity S is defined to be the rate of change of the reaction with respect to x. A particular example is that when the brightness x of a light source is increased, the eye reacts by decreasing the area R of the pupil. The experimental formula
R = (43 + 17x^6) / (1 + 0.3x^6)
can be used to model the dependence of R on x when R is measured in square millimeters and x is measured in appropriate units of brightness.
Find the sensitivity corresponding to x = 2.
Sensitivity =

If R denotes the reaction of the body to some stimulus of strength x, the sensitivity S is defined to be the rate of change of the reaction with respect to x. A particular example is that when the brightness x of a light source is increased, the eye reacts by decreasing the area R of the pupil. The experimental formula
R = (43 + 17x^6) / (1 + 0.3x^6)
can be used to model the dependence of R on x when R is measured in square millimeters and x is measured in appropriate units of brightness.
Find the sensitivity corresponding to x = 2.
Sensitivity =

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