Results 1 to 2 of 2

Math Help - Partial Derivative of Transcendental Function

  1. #1
    Member
    Joined
    Feb 2010
    From
    United States
    Posts
    155
    Thanks
    1

    Partial Derivative of Transcendental Function

    "Find the partial derivative of (sin(4x))^cos(3y) with respect to x and then with respect to y."


    This one is pretty confusing. I've been doing partial derivatives with polynomials with ease up to this point, I can't find a solid example of this kind of problem though. Any tips or help is greatly, greatly appreciated. Thank you!
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Senior Member
    Joined
    Nov 2011
    From
    Crna Gora
    Posts
    420
    Thanks
    64

    Re: Partial Derivative of Transcendental Function

    Quote Originally Posted by bobsanchez View Post
    "Find the partial derivative of (sin(4x))^cos(3y) with respect to x and then with respect to y."


    This one is pretty confusing. I've been doing partial derivatives with polynomials with ease up to this point, I can't find a solid example of this kind of problem though. Any tips or help is greatly, greatly appreciated. Thank you!
    {\frac {\partial }{\partial x}} \left(  \left( \sin \left( 4\,x\right)  \right) ^{\cos \left( 3\,y \right) } \right)=4\, \left( \sin \left( 4\,x \right)  \right) ^{\cos \left( 3\,y\right) -1}\cos \left( 3\,y \right) \cos \left( 4\,x \right)

    {\frac {\partial }{\partial y}} \left(  \left( \sin \left( 4\,x\right)  \right) ^{\cos \left( 3\,y \right) } \right)=-3\, \left( \sin \left( 4\,x \right)  \right) ^{\cos \left( 3\,y\right) }\sin \left( 3\,y \right) \ln  \left( \sin \left( 4\,x\right)  \right)
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 1
    Last Post: May 4th 2010, 12:49 PM
  2. Replies: 7
    Last Post: April 14th 2010, 07:09 AM
  3. Partial derivative of a function
    Posted in the Calculus Forum
    Replies: 8
    Last Post: March 13th 2010, 04:09 AM
  4. Partial derivative of an arctan function
    Posted in the Calculus Forum
    Replies: 5
    Last Post: October 11th 2009, 09:40 AM
  5. Replies: 3
    Last Post: December 4th 2008, 12:09 AM

Search Tags


/mathhelpforum @mathhelpforum