Posted by **Stephanie** on Sunday, November 2, 2008 at 12:52pm.

the curve: (x)(y^2)-(x^3)(y)=6

(dy/dx)=(3(x^2)y-(y^2))/(2xy-(x^3))

a) find all points on the curve whose x-coordinate is 1 and write an equation for the tangent line of each of these points

b)find the x-coordinate of each point on the curve where the tangent line is vertical

- Calculus -
**drwls**, Sunday, November 2, 2008 at 1:33pm
a) If x = 1, y^2 -y -6 = 0

(y-3)(y+2) - 0

y = 3 or -2

b) Find the points where dy/dx = infinity

Those would be the places where the denominator of dy/dx = 0. x=0 is one such point. Any point where x^2 = 2y would be another, if there is such a point on the curve.

## Answer This Question

## Related Questions

- calculus - 1. Consider the function f(x) = X^(4/3) +4x^(1/3) on the interval -8...
- calculus - 1. Consider the function f(x) = X^(4/3) +4x^(1/3) on the interval -8...
- Calculus - Please help this is due tomorrow and I don't know how to Ive missed a...
- calculus - find the x-coordinate of all points on the curve y=12Xcos(5X)-(30*...
- Calculus AB - Could someone please help me with these tangent line problems? 1) ...
- calculus - Consider the curve given by the equation y^3+3x^2y+13=0 a.find dy/dx...
- calculus - 1. Given the curve a. Find an expression for the slope of the curve ...
- calculus - Consider the curve defined by 2y^3+6X^2(y)- 12x^2 +6y=1 . a. Show ...
- AP Calculus - Consider the curve given by x^2+4y^2=7+3xy a) Show that dy/dx=(3y-...
- 12th Grade Calculus - 1. a.) Find an equation for the line perpendicular to the ...

More Related Questions