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1st derivative help

  1. Jan 11, 2010 #1
    1. The problem statement, all variables and given/known data
    differentiate the following function using both the quotient and product rule with respect to their independent variable(s) and simplify your answer


    2. Relevant equations
    AC= (Q+1)^(0.5) / Q


    3. The attempt at a solution
    product rule:
    dac/dQ = [(Q+1)^(0.5) x (-q^-2) ] + [ 0.5(Q+1)^(1/2) ]
    dac/dQ = Q^(-1.5) + 1 + 0.5(Q+1)^(1/2)
     
  2. jcsd
  3. Jan 11, 2010 #2

    Dick

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    I think you are just supposed to show that d/dQ of (Q+1)^(1/2)/Q taken with the quotient rule, and d/dQ of (Q+1)^(1/2)*Q^(-1) taken with the product rule are equal. But I'm really not sure how you are getting those expressions you show. Can you show us?
     
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