Results 1 to 3 of 3

Math Help - derrivatives of inverse trig functions

  1. #1
    Member
    Joined
    Jun 2007
    Posts
    120

    derrivatives of inverse trig functions

    G(x)= [sqrt(1-x^2)]arccosx

    need help please.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Senior Member
    Joined
    Jan 2008
    From
    Montreal
    Posts
    311
    Awards
    1
    \frac{d}{dx} \ \sqrt{1-x^2}\arccos{x}

    = \frac{1}{2}(1-x^2)^{-\frac{1}{2}} \times 2x \arccos{x} + \frac{-1}{\sqrt{1-x^2}} \times \sqrt{1-x^2}

    = \frac{x}{\sqrt{1-x^2}} \arccos{x}-1
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Flow Master
    mr fantastic's Avatar
    Joined
    Dec 2007
    From
    Zeitgeist
    Posts
    16,948
    Thanks
    5
    Quote Originally Posted by lllll View Post
    \frac{d}{dx} \ \sqrt{1-x^2}\arccos{x}

    = \frac{1}{2}(1-x^2)^{-\frac{1}{2}} \times ({\color{red}-}2x) \arccos{x} + \frac{-1}{\sqrt{1-x^2}} \times \sqrt{1-x^2}

    = \frac{{\color{red}-}x}{\sqrt{1-x^2}} \arccos{x}-1
    Small corrections in red.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. inverse trig functions
    Posted in the Trigonometry Forum
    Replies: 1
    Last Post: August 28th 2010, 07:37 AM
  2. Inverse Trig Functions and Advance Trig
    Posted in the Trigonometry Forum
    Replies: 1
    Last Post: September 24th 2008, 03:13 PM
  3. Inverse trig functions
    Posted in the Trigonometry Forum
    Replies: 1
    Last Post: April 15th 2008, 06:36 PM
  4. Inverse Trig functions
    Posted in the Trigonometry Forum
    Replies: 1
    Last Post: February 8th 2008, 06:46 AM
  5. [SOLVED] Inverse Trig functions
    Posted in the Trigonometry Forum
    Replies: 2
    Last Post: August 25th 2007, 05:11 PM

Search Tags


/mathhelpforum @mathhelpforum