Results 1 to 4 of 4

Thread: First-Order Derivative

  1. Sep 27th 2010, 04:45 PM #1
    jcrane
    jcrane is offline
    Newbie
    Joined
    Sep 2010
    Posts
    5

    First-Order Derivative

    I'm not sure if i'm doing this right, it's been awhile since i've had to deal with calculus!
    So it says calculate the first-order derivative with respect to x:

    a. y = 3x^2
    Ans: F(x) = 9X^2

    b. y = x^3
    Ans: F(x) 3x^2

    c. y=mx + b
    Ans: Not sure on this one ..

    d. y = 1/x
    Ans: Also not sure

    e. y = 37x^4
    Ans: F(x) = 148x^3

    f. y = x^a/b
    ANS: F(x) = a/b x^a/b - 1

    Okay. maybe i'm completely wrong with some of these!
    any help is greatly appreciated!
    Follow Math Help Forum on Facebook and Google+
  2. Sep 27th 2010, 05:21 PM #2
    TheCoffeeMachine
    TheCoffeeMachine is offline
    Super Member
    Joined
    Mar 2010
    Posts
    715
    Thanks
    2
    a. y = 3x^2
    Ans: F(x) = 9X^2
    Recheck.

    Quote Originally Posted by jcrane View Post
    c. y=mx + b
    Ans: Not sure on this one ..
    m and b are constant, just like any other.

    d. y = 1/x
    Ans: Also not sure
    \frac{1}{x} = x^{-1}.
    Follow Math Help Forum on Facebook and Google+
  3. Sep 27th 2010, 05:22 PM #3
    pickslides
    pickslides is offline
    Master Of Puppets
    pickslides's Avatar
    Joined
    Sep 2008
    From
    Melbourne
    Posts
    5,237
    Thanks
    33
    Recall y= x^n \implies \frac{dy}{dx}= nx^{n-1}

    Quote Originally Posted by jcrane View Post
    a. y = 3x^2
    Ans: F(x) = 9X^2


    Therefore

    \frac{dy}{dx}=9x

    Quote Originally Posted by jcrane View Post


    b. y = x^3
    Ans: F(x) 3x^2

    Yep


    Quote Originally Posted by jcrane View Post




    c. y=mx + b
    Ans: Not sure on this one ..

    treat m and b as a constant,




    Quote Originally Posted by jcrane View Post

    d. y = 1/x
    Ans: Also not sure
    \frac{1}{x}= x^{-1}
    Follow Math Help Forum on Facebook and Google+
  4. Sep 28th 2010, 07:23 PM #4
    pirateboy
    pirateboy is offline
    Junior Member pirateboy's Avatar
    Joined
    Jul 2010
    From
    Portland, OR
    Posts
    34
    Err...pickslides, I think you made a "silly mistake" on the first one.

    \frac{d}{dx}\left(3x^2\right) = 2\cdot 3x^{2-1}\neq 9x
    Follow Math Help Forum on Facebook and Google+
« Limits involving a hybrid function. | Derivative Problem »

Similar Math Help Forum Discussions

  1. Higher order derivative
    Posted in the Calculus Forum
    Replies: 2
    Last Post: Apr 23rd 2010, 02:26 PM
  2. Second order directional derivative?
    Posted in the Calculus Forum
    Replies: 0
    Last Post: Nov 18th 2009, 07:00 AM
  3. First and Second Order Derivative. Please help?
    Posted in the Calculus Forum
    Replies: 2
    Last Post: Sep 1st 2009, 10:37 AM
  4. First Order Derivative II
    Posted in the Differential Equations Forum
    Replies: 6
    Last Post: Feb 19th 2009, 07:48 AM
  5. A second order partial derivative
    Posted in the Calculus Forum
    Replies: 8
    Last Post: Oct 19th 2007, 03:52 PM

Search Tags


/mathhelpforum @mathhelpforum