1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

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


    User Avatar
    Science Advisor
    Homework Helper

    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?
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Similar Discussions: 1st derivative help
  1. 1st derivative (Replies: 2)

  2. 1st and 2nd Derivative (Replies: 4)