The sensitivity S at equals________??????Related rates
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The sensitivity S at equals________??????Related rates

[From: ] [author: ] [Date: 12-07-05] [Hit: ]
The sensitivity S at s=1 equals ________?Help me plz!! Thanks-dR/ds = ((1+8s^0.9)(27s^-0.1) - (20+30s^0.......
Let R be the reaction of the body to some stimulus of strength s (measured in the appropriate units). The sensitivity S is defined to be the rate of change of the reaction with repect to s. Suppose that, for the particular R and s, the following experimental formula has been used:

R = 20+30s^0.9/1+8s^0.9

The sensitivity S at s=1 equals ________?

Help me plz!! Thanks

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dR/ds = ((1+8s^0.9)(27s^-0.1) - (20+30s^0.9)(7.2s^-0.1))/(1+8s^0.9)^2 = ((1+8)*27 - (50*7.2))/9^2= (243-360)/9^2 = -117/81

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The sensitivity S at s=1 equals dR/ds at s = 1.
Can you finish it?
1
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