Monday

March 30, 2015

March 30, 2015

Posted by **Anonymous** on Wednesday, October 29, 2008 at 1:46pm.

x^2 - 2xy + 4y^2 = 64

Write an expression of the slope of the curve at any point.

(y^p)= y prime

My work

2x - 2(xy^p + y) + 8yy^p = 0

2x -2xy^p - 2y + 8yy^p = 0

-2xy^p + 8yy^p = 2y -2x

factored out y^p and then divided to get

(2y - 2x) / (8y - 2x)

Which I think is wrong.

Please let me know where I went wrong if I did.

- Calculus -
**bobpursley**, Wednesday, October 29, 2008 at 1:52pmI would reduce it to

y'=(y-x)/(4y-x)

- Calculus -
**Anonymous**, Wednesday, October 29, 2008 at 1:57pmOk, so it was right at first. Thanks for the further simplifying. :)

**Answer this Question**

**Related Questions**

calculus - Consider the curve defined by 2y^3+6X^2(y)- 12x^2 +6y=1 . a. Show ...

Calculus - The line that is normal to the curve x^2=2xy-3y^2=0 at(1,1) ...

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

calculus - Consider the curve given by the equation y^3+3x^2y+13=0 a.find dy/dx...

Need help fast on calc - original curve: 2y^3+6(x^2)y-12x^2+6y=1 dy/dx=(4x-2xy...

12th Grade Calculus - 1. a.) Find an equation for the line perpendicular to the ...

Calculus - Consider the closed curve in the day plane: 2x^2-2xy+y^3=14 a) show ...

Help Calc.! - original curve: 2y^3+6(x^2)y-12x^2+6y=1 dy/dx=(4x-2xy)/(x^2+y^2+1...

please help; calc - original curve: 2y^3+6(x^2)y-12x^2+6y=1 dy/dx=(4x-2xy)/(x^2+...

math - A curve has implicit equation x^2-2xy+4y^2=12 a)find the expression for ...