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Math Help - help with differentiating a function

  1. #1
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    help with differentiating a function

    hi could anyone please give me the first and second derivative of this function:
    ((60000000)/(Q)) + (((Q-S)/\2)/8Q) + ((S/\2)/Q)
    in terms of Q and S.

    thanks
    Rudy
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  2. #2
    MHF Contributor Mathstud28's Avatar
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    Quote Originally Posted by rudy View Post
    hi could anyone please give me the first and second derivative of this function:
    ((60000000)/(Q)) + (((Q-S)/\2)/8Q) + ((S/\2)/Q)
    in terms of Q and S.

    thanks
    Rudy
    Is this needing a partial derivative or is one of these a constant

    In terms of could mean "Differentiate in respect to" or it could mean "And then solve for in terms of"

    secondly is this your problem

    f(Q,S)=\frac{60000000}{Q}+\frac{\frac{Q-S}{2}}{8Q}+\frac{\frac{S}{2}}{Q}?
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  3. #3
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    yes partial derivative.
    and yes sorry i should have said "Differentiate in respect to"

    dont know how this maths coding thing works

    instead of Q-S divided by 2 should be (Q-S) to the power of 2
    similarly S to the power of 2 divided by Q

    hope that makes sense
    thanks
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  4. #4
    MHF Contributor Mathstud28's Avatar
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    Quote Originally Posted by rudy View Post
    yes partial derivative.
    and yes sorry i should have said "Differentiate in respect to"

    dont know how this maths coding thing works

    instead of Q-S divided by 2 should be (Q-S) to the power of 2
    similarly S to the power of 2 divided by Q

    hope that makes sense
    thanks
    Now do you want f_{QS} or the reverse...or are you asking for f_{Q} and f_{S}

    If it is the last one... f_{S}=\frac{-2(Q-S)}{8Q}+\frac{2}{Q}S
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  5. #5
    Grand Panjandrum
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    Quote Originally Posted by rudy View Post
    yes partial derivative.
    and yes sorry i should have said "Differentiate in respect to"

    dont know how this maths coding thing works

    instead of Q-S divided by 2 should be (Q-S) to the power of 2
    similarly S to the power of 2 divided by Q

    hope that makes sense
    thanks
    differentiate with respect to what? t?

    RonL
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  6. #6
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    mmmm not to sure

    ok ill give you the question as it was presented to me.
    hopefully i havnt already led you down the wrong path


    Given TC = (that function above) , determine the values of q and S
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  7. #7
    Moo
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    Hello,

    Are P and Q constants ? o.O
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  8. #8
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    yea they are
    thanks
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