calculus

posted by .

f(x)=8/(x^2+x+2)
Set up an equation, which when solved will give the points where the tangent line has y-intercept 5.

  • calculus -

    f' = a = -8(2x+1)/(x^2+x+2)^2


    y = a x + 5

    8/(x^2+x+2) = -8(2x^2+x)/ (x^2+x+2)^2 + 5
    etc

  • calculus -

    Damon, so what you did was apply the quotient rule to the ax part? Wouldn't the -8 be -8x then? And if I'm doing it right, would my final equation be this?
    0=(5x^4+10x^3+x^2+4x+4)/(x^2+x+2)^2

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. secant line, tangent line

    f(x) = sqrt(x-1), 1<=x<=3 Let A = (a,f(a)), and B = (b,f(b)). Write an equation for 1. the secant line AB 2. a tangent line to f in the interval (a,b) that is parallel to AB Thank you for all the help. For the line, you have …
  2. Math

    The graph of the equation y=4-x consists of all the points in the coordinate plane that satisfy the equation. List 5 points that satisfy y= 4-x. Also, what do you think is the minimum number of points you need to plot in order to draw …
  3. Algebra

    Given a line containing the points(1,4), (2,7) and (3,10) determine that slope-intercept form of the equation, provide one additional point on this line, and graph the funtion. Start by putting the first point into point-slope form: …
  4. Math--Calculus

    Let y = f(x) be the continuous function that satisfies the equation x^4 - (5x^2)(y^2) + 4y^4 = 0 and whose graph contains the points (2,1) and (2,2). Let L be the line tangent to the graph of f at x = 2. (a) Find and expression for …
  5. math

    i have more than one question so if u no any of the answers please tell me 1.) write the point-slope form of the equation of the line with slope -2 passing through the point ( -5, -9). 2.) write the point-slope form of an equation …
  6. calculus

    Determine the equation of the tangent line at the indicated -coordinate f(x)=e^(-2x)*in(8x) for x=2 The equation of the tangent line in slope-intercept form is y= ?
  7. Calculus

    Determine the equation of the tangent line at the indicated -coordinate. f(x) = e^(-0.4x) * ln(18x) for x= 3 The equation of the tangent line in slope-intercept form is
  8. Calculus

    1) An equation of the line contains points (7/9, 7) and (-7/9) is 2) Find the slope of the line tangent to the curve y=x^2 at the point (-0.6, 0.36) and find the corresponding equation of the tangent line
  9. Calculus

    Can someone show how this question is solved. Consider the curve given by the equation 2y^3 + y^2 - y^5 = x^4 -2x^3 +x^2 Find all points at which the tangent line to the curve is horizontal or vertical. Thanks!
  10. Calculus AB

    Could someone please help me with these tangent line problems?

More Similar Questions