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Math Help - how can I sovle the Sensitivity question

  1. #1
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    how can I sovle the Sensitivity question

    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=(90+21s^0.5)/(1+3s^0.5)

    The sensitivity S at equals _____ (units of )/(units of )

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  2. #2
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    Quote Originally Posted by shannon1111 View Post
    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=(90+21s^0.5)/(1+3s^0.5)

    The sensitivity S at equals _____ (units of )/(units of )

    Thanks
    Start by using the quotient rule to find dR/ds.
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  3. #3
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    Quote Originally Posted by mr fantastic View Post
    Start by using the quotient rule to find dR/ds.
    I know, I got dR/dS = -124.5 /[ (s^ -0.5)(1+3s^0.5)^2]

    but when I substitude s=1, I got a negative number.....
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  4. #4
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    Quote Originally Posted by shannon1111 View Post
    I know, I got dR/dS = -124.5 /[ (s^ -0.5)(1+3s^0.5)^2]

    but when I substitude s=1, I got a negative number.....
    I get dR/dS = -124.5 /[ (s^0.5)(1+3s^0.5)^2] (notice, no red negative). So the sensitivity is negative. So what? It's just a number on a scale.
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  5. #5
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    I have tried to submit the negative answer , but it's wrong
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  6. #6
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    Quote Originally Posted by shannon1111 View Post
    I have tried to submit the negative answer , but it's wrong
    It would help if from the start you showed all you'd done. What answer have you tried to submit?
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  7. #7
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    I'm getting what mr fantastic got. The answer is a negative stimulus, unless you typed it wrong. It would help if you could type it in Latex.
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