Results 1 to 3 of 3
Like Tree2Thanks
  • 2 Post By Prove It

Math Help - Find g'(t)...Quotient or Product Rule?

  1. #1
    Senior Member nycmath's Avatar
    Joined
    Jan 2013
    From
    Bronx, NY
    Posts
    485
    Thanks
    6

    Find g'(t)...Quotient or Product Rule?

    Find g'(t).

    g(t) = 3t^2/(sqrt{t^2+2t-1})

    It is easier to solve by the quotient rule?
    Should I separate the fraction and use the product rule?

    If so, can the problem be rewritten
    as 1/(sqrt{t^2+2t-1}) * 3t^2 and then apply the product rule?

    What is the easiest way to find g'(t)?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    Prove It's Avatar
    Joined
    Aug 2008
    Posts
    11,504
    Thanks
    1400

    Re: Find g'(t)...Quotient or Product Rule?

    I'd probably lean towards writing it as \displaystyle g(t) = 3t^2 \left( t^2 + 2t - 1 \right) ^{-\frac{1}{2}} and applying the product and chain rules.
    Thanks from nycmath and topsquark
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Senior Member nycmath's Avatar
    Joined
    Jan 2013
    From
    Bronx, NY
    Posts
    485
    Thanks
    6

    Re: Find g'(t)...Quotient or Product Rule?

    I was able to find g'(t) but cannot simplify it enough to look like the book's answer.

    My Answer:

    g'(t) = 3t^2(-1/2)(t^2+2t-1)^(-3/2) * (2t+2) plus
    (t^2+2t-1)^(-1/2) * 6t

    Book's answer:

    3t(t^2+3t-2) divided by (t^2+2t-1)^(3/2)

    Can you simplify my answer, if correct, to look like the book's answer?
    Last edited by nycmath; October 15th 2013 at 07:54 PM.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Product/Quotient rule?
    Posted in the Calculus Forum
    Replies: 2
    Last Post: October 30th 2012, 05:36 AM
  2. Replies: 6
    Last Post: July 17th 2012, 12:18 AM
  3. Replies: 5
    Last Post: December 20th 2011, 04:57 AM
  4. Quotient / Product Rule help
    Posted in the Calculus Forum
    Replies: 9
    Last Post: October 10th 2010, 06:53 PM
  5. Proof for Product Rule and Quotient Rule
    Posted in the Pre-Calculus Forum
    Replies: 4
    Last Post: August 24th 2010, 01:35 AM

Search Tags


/mathhelpforum @mathhelpforum