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Math Help - Application of derivative about life science

  1. #1
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    Application of derivative about life science

    Can anybody help me check out if I got the right answer? also how can I address the unit of part b!~

    Thanks!!!!~


    When a certain drug is injected into a muscle, the muscle responds by contracting. The amount of contraction , s(in millimeters) is related to the concentration of drug, x (in millimeters)by

    s(x)= x/(m+nx) where m and n are constants.

    a)Find s'(x)

    S'(x)=m/((m+nx)^2)

    b)Find the rate of contraction when the concentration of the drug is 50ml,m=10 and n=3


    s'(50)=10/((10+30*50)^2)=3.9*10^(-4) units?

    as for this one how can I address the unit of the rate of contraction?
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  2. #2
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    Quote Originally Posted by shannon1111 View Post
    Can anybody help me check out if I got the right answer? also how can I address the unit of part b!~

    Thanks!!!!~


    When a certain drug is injected into a muscle, the muscle responds by contracting. The amount of contraction , s(in millimeters) is related to the concentration of drug, x (in millimeters)by

    s(x)= x/(m+nx) where m and n are constants.

    a)Find s'(x)

    S'(x)=m/((m+nx)^2)

    b)Find the rate of contraction when the concentration of the drug is 50ml,m=10 and n=3


    s'(50)=10/((10+30*50)^2)=3.9*10^(-4) units?

    as for this one how can I address the unit of the rate of contraction?
    s'(x) ... mm/mL
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  3. #3
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    I am confused about the units, how can I adress the units of all the derivatives problem?
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  4. #4
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    Quote Originally Posted by shannon1111 View Post
    I am confused about the units, how can I adress the units of all the derivatives problem?
    \frac{dy}{dx} ... \frac{units \, of \, the \, dependent \, variable}{units \, of \, the \, independent \, variable}
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