Tuesday

July 29, 2014

July 29, 2014

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

(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 1:33pma) 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.

**Related Questions**

Calculus - Please help this is due tomorrow and I dont know how to Ive missed a ...

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 - Consider the curve y^2+xy+x^2=15. What is dy/dx? Find the two points ...

calculus - dy/dx= (2x-2xy)/(x^2+2y) find all points on the curve where x=2. show...

calculus - dy/dx= (2x-2xy)/(x^2+2y) Find all points on the curve where x=2. Show...

calculus - dy/dx= (2x-2xy)/(x^2+2y) Find all points on the curve where x=2. Show...

calculus - 1. Given the curve a. Find an expression for the slope of the curve ...

Calculus - Consider the curve given by y^2 = 2+xy (a) show that dy/dx= y/(2y-x...

calculus - Given the curve defined by the equation y=cos^2(x) + sqrt(2)* sin(x) ...