Find the two stationary points on the curve when y = 2x/x^2 + 1

  1. 👍 0
  2. 👎 0
  3. 👁 46
asked by Shane
  1. A stationary point occurs when the derivative of the curve is 0.

    Find the derivative, y'. Solve for x when y'=0. Evaluate y at these values of x.

    1. 👍 0
    2. 👎 0
    posted by Graham

Respond to this Question

First Name

Your Response

Similar Questions

  1. maths

    given the curve y=2x/(1+x^2)^2 (a) prove that dy/dx =2(1-x^2)/(1+x^2)^2 (b) find the coordinates of the stationary points and state the nature of the stationary points.

    asked by mumbula on October 6, 2013
  2. math

    this question concerns the function f(x)=-2x3+3x2+12x+10 (a)find the stationary points of this function using the strategy to apply the first derivative test,classify the left hand stationary point found in part (a) find the

    asked by hanny on February 8, 2007
  3. math

    (a) Simplify the following: (i) i345 (ii) 32/(-5i) (iii) 6/(7-8i) (iv) 9/(-8+7i) (b) Find the nature of the stationary points on the curve y = 4x3 – 3x2 – 6x + 2

    asked by bliss on September 8, 2016
  4. math

    f(x)=-x^3+3x^2+9x-5 asked to find the stationary points this was my working and i don't know if it is correct f dash of x = -3x^2+3(2x)+9 -3x^2+6x+9 at local max and min f(x) should =0 -3x^2+6x+9=0 3x^2-6x+9 x^2-2x+3=0 stationary

    asked by Pd on July 11, 2010
  5. Maxima, Stationary Points

    Long shot but does anyone have experience of using Maxima (maths program) for finding stationary points. My user guide offers no help, ive tried to manipulate the following derivative to find the stationary points however its not

    asked by Mat on March 5, 2016
  6. Differentiation

    Again, that all makes sense. Thank you very much. Thank you very much. I did get the derivative you show, but then divided through by 6 to get at the stationary points. Was that wrong? I'm only looking for a critique please, not

    asked by CharlieGolf on June 20, 2007
  7. Calculus

    Consider the curve y^2+xy+x^2=15. What is dy/dx? Find the two points on the curve where y equals 0 and show that the tangent lines there are parallel. Find the coordinates of all points on the curve where there is a horizontal

    asked by K.Jeanes on April 19, 2011
  8. Calculus

    Consider the curve given by y^2 = 2+xy (a) show that dy/dx= y/(2y-x) (b) Find all points (x,y) on the curve where the line tangent to the curve has slope 1/2. (c) Show that there are now points (x,y) on the curve where the line

    asked by Mathew on October 2, 2013
  9. 12th Grade Calculus

    1. a.) Find an equation for the line perpendicular to the tangent curve y=x^3 - 9x + 5 at the point (3,5) [* for a. the answer that I obtained was y-5 = -1/18 (x-3) ] b.) What is the smallest slope on the curve? At what point on

    asked by Eliza on November 28, 2010
  10. Ap calc.. Dying!! Please help!

    Given the curve x^2-xy+y^2=9 A) write a general expression for the slope of the curve. B) find the coordinates of the points on the curve where the tangents are vertical C) at the point (0,3) find the rate of change in the slope

    asked by Aparna on January 25, 2013

More Similar Questions