Results 1 to 2 of 2

Math Help - BCA Maths

  1. #1
    Newbie
    Joined
    Apr 2009
    Posts
    16
    Hi friends! I recently gave BCA maths exam and it was bit tough for me as i didn't had maths at +2 level. It consisted of Integration,differentiation,matrices,advance stats. etc.

    Please solve the following questions:-

    Differentiate \sin^{-1} \left(2x \sqrt{1 - x^2}\right) w.r.t x.


    2nd question:-

    Find maximum and minimum values of f(x) in the interval [0,3], where:-

    f(x)= 3x^4 - 8x^3 + 12x^2 - 48x + 25


    I just learned about finding maxima and minima of 2nd degree function.
    Last edited by mr fantastic; April 8th 2009 at 03:22 PM. Reason: Merged posts amd improved notation using latex
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Flow Master
    mr fantastic's Avatar
    Joined
    Dec 2007
    From
    Zeitgeist
    Posts
    16,948
    Thanks
    5
    Quote Originally Posted by vivek_master146 View Post
    Hi friends! I recently gave BCA maths exam and it was bit tough for me as i didn't had maths at +2 level. It consisted of Integration,differentiation,matrices,advance stats. etc.

    Please solve the following questions:-

    Differentiate \sin^{-1} \left(2x \sqrt{1 - x^2}\right) w.r.t x.


    2nd question:-

    Find maximum and minimum values of f(x) in the interval [0,3], where:-

    f(x)= 3x^4 - 8x^3 + 12x^2 - 48x + 25


    I just learned about finding maxima and minima of 2nd degree function.
    Q1. Let w = 2x \sqrt{1 - x^2} and use the chain rule: \frac{dy}{dx} = \frac{dy}{dw} \cdot \frac{dw}{dx}.

    To get \frac{dw}{dx} use the product rule. Note that to get the derivative of \sqrt{1 - x^2} you might need to use the chain rule (although you might be capable of doing it by inspection).


    Q2. Solve f'(x) = 0 to get (as it happens) the single stationary point. Note: x^3 - 2x^2 + 2x - 4 = (x - 2)(x^2 + 2). Test the nature of this stationary point.

    Note that the maximum and minimum values of f(x) will occur either at the turning point or an endpoint of the interval.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Should I buy maths books to teach myself maths.
    Posted in the Math Topics Forum
    Replies: 2
    Last Post: November 21st 2011, 04:45 PM
  2. Help me with my grade 11 maths [easy maths]
    Posted in the Pre-Calculus Forum
    Replies: 11
    Last Post: December 27th 2009, 04:09 PM
  3. Maths help.
    Posted in the Algebra Forum
    Replies: 2
    Last Post: October 29th 2009, 08:17 AM
  4. Replies: 0
    Last Post: September 5th 2007, 03:50 AM
  5. Replies: 1
    Last Post: October 3rd 2006, 09:59 AM

Search Tags


/mathhelpforum @mathhelpforum