Results 1 to 4 of 4

Thread: Differentiate the equation

  1. #1
    Senior Member
    Joined
    Apr 2009
    Posts
    255

    Differentiate the equation

    Did I differentiate these correctly?

    1) $\displaystyle g(x)=5x^8-2x^5+6$
    my answer: $\displaystyle g'(x)=40x^7-10x^4$

    2) $\displaystyle f(t)=\frac{1}{2}t^6-3t^4+t$
    my answer: $\displaystyle f'(t)=3t^5-12t+1$

    3) $\displaystyle R(t)=5t^{-3/5}$
    my answer: $\displaystyle -3t^{-8/5}$

    4) $\displaystyle f(t)=\sqrt{t}-\frac{1}{\sqrt{t}}$
    my answer: $\displaystyle \frac{1}{2}t^{-1/2}+\frac{1}{2}t^{-2/3}$

    5) $\displaystyle y=x^{1/3}$
    my answer: $\displaystyle y'=\frac{1}{3}x^{-2/3}$
    Follow Math Help Forum on Facebook and Google+

  2. #2
    ynj
    ynj is offline
    Senior Member
    Joined
    Jul 2009
    Posts
    254
    yes
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Member eXist's Avatar
    Joined
    Aug 2009
    Posts
    157
    I disagree with the 2nd and the 4th problem.

    You have:
    2) ...
    my answer: $\displaystyle f'(t)=3t^5-12t+1$

    4) ...
    my answer: $\displaystyle \frac{1}{2}t^{-1/2}+\frac{1}{2}t^{-2/3}$

    I think it should be:
    2) $\displaystyle f'(t)=3t^5-12t^3+1$

    4) $\displaystyle \frac{1}{2}t^{-1/2}+\frac{1}{2}t^{-3/2}$
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Senior Member
    Joined
    Apr 2009
    Posts
    255
    Quote Originally Posted by eXist View Post
    I disagree with the 2nd and the 4th problem.

    You have:
    2) ...
    my answer: $\displaystyle f'(t)=3t^5-12t+1$

    4) ...
    my answer: $\displaystyle \frac{1}{2}t^{-1/2}+\frac{1}{2}t^{-2/3}$

    I think it should be:
    2) $\displaystyle f'(t)=3t^5-12t^3+1$

    4) $\displaystyle \frac{1}{2}t^{-1/2}+\frac{1}{2}t^{-3/2}$
    Thanks! I re did it and got your answers
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Differentiate an equation
    Posted in the Calculus Forum
    Replies: 2
    Last Post: Oct 17th 2011, 06:22 PM
  2. How do I differentiate this equation?
    Posted in the Calculus Forum
    Replies: 1
    Last Post: Nov 7th 2010, 04:34 AM
  3. differentiate this equation...
    Posted in the Calculus Forum
    Replies: 5
    Last Post: Jan 23rd 2010, 03:51 AM
  4. can't differentiate my own equation!
    Posted in the Calculus Forum
    Replies: 2
    Last Post: Aug 28th 2009, 09:40 PM
  5. How do you Differentiate this equation?
    Posted in the Calculus Forum
    Replies: 1
    Last Post: Feb 23rd 2009, 03:42 PM

Search Tags


/mathhelpforum @mathhelpforum