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1st derivative help

  • Thread starter shanedog11
  • Start date
  • #1

Homework Statement


differentiate the following function using both the quotient and product rule with respect to their independent variable(s) and simplify your answer


Homework Equations


AC= (Q+1)^(0.5) / Q


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)
 

Answers and Replies

  • #2
Dick
Science Advisor
Homework Helper
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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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