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!

Need help Determining the Derivative

  1. Sep 24, 2011 #1
    f(x)= -3x^4/(4x-8)^(1/2),

    f'(x)=?

    Cannot figure out how to do this one, would appreciate help finding my mistakes!


    I'm sure you all cna find the answer yourself but for convenience it is -3x^3(7x-16)/(4(x-2)^(3/2))
     

    Attached Files:

    Last edited: Sep 24, 2011
  2. jcsd
  3. Sep 24, 2011 #2

    gb7nash

    User Avatar
    Homework Helper

    Your answer is right, but we need to somehow get x-2 instead of 4x-8:

    At the step:

    [tex]\frac{(4x-8)(-12x^3) +6x^4}{(4x-8)^{\frac{1}{2}}(4x-8)}[/tex]

    We can factor a number out of (4x-8)1/2. We can also factor a number out of (4x-8). Once you get to the last step of your work, you can factor out a number from (14x-32).
     
  4. Sep 24, 2011 #3
    i got it! thanks a lot i just didn't see the equivalency thanks!
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Need help Determining the Derivative
  1. Need help derivation (Replies: 6)

Loading...