Results 1 to 10 of 10

Math Help - product rule derivative check!

  1. #1
    Super Member
    Joined
    Oct 2007
    From
    Santiago
    Posts
    517

    product rule derivative check!

    <br /> <br />
y = x^2cscx\sqrt{x^2+1}<br /> <br />

    its derivative is :

    <br /> <br />
y' = 2xcscx\sqrt{x^2+1} - x^2cotxcscx\sqrt{x^2+1} + x^2cscx\frac{1}{2\sqrt{x^2+1}}<br /> <br />

    correct?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Super Member 11rdc11's Avatar
    Joined
    Jul 2007
    From
    New Orleans
    Posts
    894
    Not quite

    y' = 2xcscx\sqrt{x^2+1} - \bigg(x^2cotxcscx\sqrt{x^2+1}\bigg)\bigg(\frac{2x}  {2\sqrt{x^2+1}}\bigg)

    Oops nevermind didn't see that there was an x behinf the csc
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Super Member
    Joined
    Oct 2007
    From
    Santiago
    Posts
    517
    Quote Originally Posted by 11rdc11 View Post
    Not quite

    y' = 2xcscx\sqrt{x^2+1} - \bigg(x^2cotxcscx\sqrt{x^2+1}\bigg)\bigg(\frac{2x}  {2\sqrt{x^2+1}}\bigg)
    hrmm what happened to the + x^2cscx ? and the 2x where it come from? thank u
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Super Member
    Joined
    Oct 2007
    From
    Santiago
    Posts
    517
    Quote Originally Posted by 11rdc11 View Post
    Not quite

    y' = 2xcscx\sqrt{x^2+1} - \bigg(x^2cotxcscx\sqrt{x^2+1}\bigg)\bigg(\frac{2x}  {2\sqrt{x^2+1}}\bigg)

    Oops nevermind didn't see that there was an x behinf the csc
    so is mine okay ?
    Follow Math Help Forum on Facebook and Google+

  5. #5
    Super Member
    Joined
    Oct 2007
    From
    Santiago
    Posts
    517
    <br />
y' = 2xcscx\sqrt{x^2+1} - (x^2cotxcscx\sqrt{x^2+1}) + x^2cscx\frac{2x}{2\sqrt{x^2+1}}
    " alt="
    " />

    as my final answer?
    Follow Math Help Forum on Facebook and Google+

  6. #6
    Super Member 11rdc11's Avatar
    Joined
    Jul 2007
    From
    New Orleans
    Posts
    894
    Quick question is it

    x^2csc(x\sqrt{x^2 -1})

    or

    x^2(cscx)(\sqrt{x^2-1})
    Follow Math Help Forum on Facebook and Google+

  7. #7
    Super Member
    Joined
    Oct 2007
    From
    Santiago
    Posts
    517
    Quote Originally Posted by jvignacio View Post
    so is mine okay ?
    <br />
y' = 2xcscx\sqrt{x^2+1} - (x^2cotxcscx\sqrt{x^2+1}) + x^2cscx\frac{x}{\sqrt{x^2+1}}<br />

    as my final answer?
    Follow Math Help Forum on Facebook and Google+

  8. #8
    Super Member
    Joined
    Oct 2007
    From
    Santiago
    Posts
    517
    Quote Originally Posted by 11rdc11 View Post
    Quick question is it

    x^2csc(x\sqrt{x^2 -1})

    or

    x^2(cscx)(\sqrt{x^2-1})
    its the 2nd one
    Follow Math Help Forum on Facebook and Google+

  9. #9
    Super Member
    Joined
    Jun 2008
    Posts
    792
    Quote Originally Posted by jvignacio View Post
    <br />
y' = 2xcscx\sqrt{x^2+1} - (x^2cotxcscx\sqrt{x^2+1}) + x^2cscx\frac{x}{\sqrt{x^2+1}}<br />

    as my final answer?
    Yes, you are right.
    Follow Math Help Forum on Facebook and Google+

  10. #10
    Super Member
    Joined
    Oct 2007
    From
    Santiago
    Posts
    517
    Quote Originally Posted by Chop Suey View Post
    yes.

    thank u!!
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Derivative by using product rule
    Posted in the Calculus Forum
    Replies: 7
    Last Post: October 13th 2011, 02:54 PM
  2. [SOLVED] Chain rule derivative- double check this please?
    Posted in the Calculus Forum
    Replies: 4
    Last Post: November 10th 2010, 11:40 AM
  3. Replies: 5
    Last Post: October 19th 2009, 01:04 PM
  4. Derivative using the product rule
    Posted in the Calculus Forum
    Replies: 4
    Last Post: October 1st 2009, 12:11 AM
  5. Find derivative using product rule....
    Posted in the Calculus Forum
    Replies: 2
    Last Post: March 1st 2008, 07:03 PM

Search Tags


/mathhelpforum @mathhelpforum