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A few implicit differentiation problems!

  1. Oct 22, 2007 #1
    1.Use implicit differentiation to find the equation of the tangent line to the curve
    xy^3+xy=16 at the point (8,1) . The equation of this tangent line can be written in the form y=mx+b

    2.For the equation given below, evaluate y^1 at the point(1,-1) .
    (6x-y)^4+2y^3=2399.

    3.Find the equation of the tangent line to the curve (a lemniscate)
    2(x^2+y^2)^2=25(x^2-y^2) at the point (3,-1). The equation of this tangent line can be written in the form y=mx+b

    4.Find the slope of the tangent line to the curve sqrt(3x+3y)+sqrt(xy)=6.48 at the point
    (1,5).

    5.Use implicit differentiation to find the slope of the tangent line to the curve
    y/(x+4y)=x^7+2 at the point (1,-3/11).

    Anyone who can help... it would be greatly appreciated!! :confused:
     
  2. jcsd
  3. Oct 22, 2007 #2
    attempt? you have to show work in order to receive help!!!
     
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