Monday

September 22, 2014

September 22, 2014

Posted by **dt** on Sunday, October 19, 2008 at 7:23pm.

x^2 + xy - y^2 = 1

- 12th grade calculus -
**bobpursley**, Sunday, October 19, 2008 at 7:58pmTake the differential...

2xdx+ y dx + x dy -2ydy=0

solve for dy/dx

Then use that as m in

y=mx + b Puttingin the x,y point, solve for b.

then, for the normal, take the negative reciprocal of m, and again, solve for the line

y=-1/m x + b

- 12th grade calculus -
**Reiny**, Sunday, October 19, 2008 at 7:58pmYou did not state the given point.

Using implicit derivative I found it to be

y' = (2x+y)/(2y-x)

sub in the given point, that gives you the slope of the tangent.

Now that you have the slope (m) and a given point, use the grade 9 method of finding the equation of the tangent.

Take the negative reciprocal of your slope, and the given point to find the equation of the normal.

- 12th grade calculus -
**Damon**, Sunday, October 19, 2008 at 8:00pmYou forgot to say what point.

However in general we find the derivative, dy/dx and call that the slope, m, of the tangent at the point. Then plug the x and y of the point in to get b in y = m x + b

to get the derivative

2 x dx/dx +x dy/dx + y dx/dx - 2 y dy/dx = 0

or

2x + y = (2y-x) dy/dx

dy/dx = (2x+y)/(2y-x)

- 12th grade calculus -
**-**, Sunday, October 19, 2008 at 8:13pmthank alot

- 12th grade calculus -
**ralonda**, Monday, April 12, 2010 at 5:16pm4) x - 4y = -31

2x - 4y = -34

**Answer this Question**

**Related Questions**

12th grade calculus - find the lines that are tangent and normal to th ecurve at...

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

Maths - The tangent to the curve 2y= 2x^2 -5x +4 at the point where x=1 is ...

calculus - Calculate the equation of the tangent and normal lines for the curve ...

calculus - Given that x3-axy+3ay2=3a3 Find the equations for the tangent and ...

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

Calculus - (A) Find the equations of the tangent lines to the circle x^2 +y^2=25...

calculus - Find an equation of the tangent(s) to the curve at a given point. ...

Calculus Help Please!!! - --- Find the slope m of the tangent to the curve y = ...

Ap Calc AB - Find the equation of the line normal to the curve at (0,0). (Normal...