Results 1 to 2 of 2

Math Help - Trigonometric Derivative

  1. #1
    Member
    Joined
    Oct 2008
    Posts
    80

    Trigonometric Derivative

    What is the derivative of sin^\frac {1}{3} x ?
    Actually part of a bigger problem, but I think I can tackle it if I just know this.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor Amer's Avatar
    Joined
    May 2009
    From
    Jordan
    Posts
    1,093
    Quote Originally Posted by seuzy13 View Post
    What is the derivative of sin^\frac {1}{3} x ?
    Actually part of a bigger problem, but I think I can tackle it if I just know this.
    let t=y^{\frac{1}{3}} and y=\sin x we need dt/dx

    dt/dx = dt/dy \cdot dy/dx

    dt/dx = 1/3y^{\frac{-2}{3}} \cdot \cos x sub y value

    dt/dx = 1/3(\sin x)^{\frac{-2}{3}}(\cos x )

    dt/dx = \frac{\cos x }{3(\sin ^{\frac{2}{3}})}

    that's it
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Trigonometric Derivative
    Posted in the Calculus Forum
    Replies: 4
    Last Post: November 26th 2009, 10:26 AM
  2. Derivative of Trigonometric Function
    Posted in the Calculus Forum
    Replies: 4
    Last Post: November 5th 2009, 05:16 PM
  3. Derivative of trigonometric function
    Posted in the Calculus Forum
    Replies: 3
    Last Post: March 17th 2009, 05:03 PM
  4. Derivative of trigonometric
    Posted in the Calculus Forum
    Replies: 3
    Last Post: October 8th 2008, 09:47 PM
  5. Trigonometric Derivative using Identity
    Posted in the Trigonometry Forum
    Replies: 3
    Last Post: November 15th 2007, 09:25 PM

Search Tags


/mathhelpforum @mathhelpforum