Results 1 to 4 of 4

Math Help - How to simplify after differentiation.

  1. #1
    Junior Member
    Joined
    May 2009
    Posts
    29

    How to simplify after differentiation.

    Hi

    I have a problem with simplifying after I differentiate, can anyone enlighten me as what are some key ways in simplifying equations

    Heres my problem


    h(t)=[2t-1]/sqrt(1+t)
    rearranged it.


    h[t]=[2t-1][1+t]^(-1/2)
    Product Rule
    h'[t]=2*([-1/2][1+t]^[-3/2]) + (([1+t]^[1/2])*2
    now how do i go about in simplifying that? my problem is expanding the brackets with variables and powers.
    Show me some necessary steps needed
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor

    Joined
    Apr 2005
    Posts
    15,713
    Thanks
    1472
    Quote Originally Posted by dwat View Post
    Hi

    I have a problem with simplifying after I differentiate, can anyone enlighten me as what are some key ways in simplifying equations

    Heres my problem


    h(t)=[2t-1]/sqrt(1+t)
    rearranged it.


    h[t]=[2t-1][1+t]^(-1/2)
    Product Rule
    h'[t]=2*([-1/2][1+t]^[-3/2]) + (([1+t]^[1/2])*2
    How is this the "product rule"?
    (2t- 1)'= 2 and ((1+ t)^(-1/2)'= (-1/2)(1+ t)^(-3/2). The product rule gives h'= 2(1+t)^(-1/2)- (1/2)(2t-1)(1+t)^(-3/2).

    To simplify that, I would recomment rewriting the roots as square roots again. Of course, (1+t)^(-3/2)= (1+t)^(-1)(1+t)^(-1/2).

    h'= \frac{2}{\sqrt{1+ t}}- \frac{2t-1}{2(1+t)\sqrt{1+t}}

    Now get common denominators and combine the fractions.
    now how do i go about in simplifying that? my problem is expanding the brackets with variables and powers.
    Show me some necessary steps needed[/QUOTE]
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Flow Master
    mr fantastic's Avatar
    Joined
    Dec 2007
    From
    Zeitgeist
    Posts
    16,948
    Thanks
    5
    Quote Originally Posted by dwat View Post
    Hi

    I have a problem with simplifying after I differentiate, can anyone enlighten me as what are some key ways in simplifying equations

    Heres my problem


    h(t)=[2t-1]/sqrt(1+t)
    rearranged it.


    h[t]=[2t-1][1+t]^(-1/2)
    Product Rule
    h'[t]=2*([-1/2][1+t]^[-3/2]) + (([1+t]^[1/2])*2 Mr F says: This is wrong.
    now how do i go about in simplifying that? my problem is expanding the brackets with variables and powers.
    Show me some necessary steps needed
    You have not applied the product rule correctly. You should do it again, putting in every step of working.

    Personally however, I'd use the quotient rule. As with carpentry, the job is always easier if you use the right tool.
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Junior Member
    Joined
    May 2009
    Posts
    29
    Thanks. I see where I went wrong
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 2
    Last Post: July 26th 2010, 05:24 PM
  2. Differentiation and partial differentiation
    Posted in the Calculus Forum
    Replies: 2
    Last Post: May 30th 2010, 10:16 PM
  3. Differentiation and Implicit Differentiation
    Posted in the Calculus Forum
    Replies: 1
    Last Post: February 6th 2009, 04:07 AM
  4. simplify
    Posted in the Algebra Forum
    Replies: 8
    Last Post: January 14th 2009, 01:42 PM
  5. simplify
    Posted in the Algebra Forum
    Replies: 4
    Last Post: December 6th 2008, 09:16 AM

Search Tags


/mathhelpforum @mathhelpforum