SOLUTION: Determine the gradient of the curve {{{ x^2+2xy+2y^2=3 }}} at its y-intercepts.

Algebra.Com
Question 898412: Determine the gradient of the curve at its y-intercepts.
Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!
First find the y-intercepts.



and
.
.
.
Take the implicit derivative,





So then,




and





RELATED QUESTIONS

Find the gradient of the curve x^3+4xy-y^2=15 at the point... (answered by Fombitz,Edwin McCravy)
Determine the gradient of the tangent to the following curve where x=2: y=(x^2 -3)(x+3) (answered by Cromlix)
Determine the gradient of the tangent to the following curve at the point where x=2... (answered by Cromlix)
Calculate the gradient of the curve for y = x^2 - 2x at the point where y =... (answered by ikleyn)
Find the equation of the tangent line to the curve x^2 +2xy-y^2 +x=2 at... (answered by stanbon)
Find dy/dx of the curve... (answered by stanbon)
1)at what point on the curve y=x^2+7x-8 is the gradient equal to 1? 2)at which point on... (answered by richard1234)
Please Help Me With This Question find the gradient of the curve y=x^2+5x-3 at the point... (answered by Boreal)
The line 5x-5y=2 touches the curve x^2y-5x+y+2=0, find the coordinates of the points of... (answered by Alan3354)