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Math Help - Rates of Change: Sensitivity

  1. #1
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    Rates of Change: Sensitivity

    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+28s^0.9)/(1+9s^0.9)

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


    how can I find the unit of the sensitivity

    I get s=64.08 but I don't know how to defined the unit
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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=(20+28s^0.9)/(1+9s^0.9)
    According to your question

    S=\dfrac{dR}{ds}

    I've got \dfrac{dR}{ds}=\dfrac{-136.8}{s^{0.1} \cdot \left(9s^{0.9}+1\right)^2}

    The sensitivity S at equals _____ (units of )/(units of )
    With my result I get S(1) = -1.368

    how can I find the unit of the sensitivity

    I get s=64.08 how? but I don't know how to defined the unit
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  3. #3
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    ohhhhhhh,I got the calculation part wrong....
    Thanks
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