Saturday
April 19, 2014

Homework Help: calculus

Posted by Riley on Thursday, April 2, 2009 at 1:14pm.

Find all points on the curve x^2y^2+xy=2 where the slope of tangent line is -1.

This is what I got.

x^2y^2+xy=2

x^2*2ydy/dx + 2x*y^2 + x*dy/dx + y =0

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

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

how do I finish from here? I need to know where the slop of the tangent line equals -1.

Answer this Question

First Name:
School Subject:
Answer:

Related Questions

Calculus - Find normals to the curve xy+2x-y=0 that are parallel to the line 2x+...
Calculus - I am unsure of how to take the derivative of this equation. It may be...
Calculus - Consider the curve given by y^2 = 2+xy (a) show that dy/dx= y/(2y-x...
calculus - If y is a differentiable function of x, then the slope of the tangent...
calc - 1 + x = sin(xy^2) find dy/dx by implicit differentiation 0 + 1 = cos(xy^2...
Calculus - Damon - Find the line which passes through the point (0, 1/4) and is ...
Calculus - The line that is normal to the curve x^2=2xy-3y^2=0 at(1,1) ...
calculus - find all points on the curve x^2y^2+xy=2 where the slope of the ...
calculus - find all points on the curve x^2y^2+xy=2 where the slope of the ...
Math, Calculus - help Please... Differential Equations Problems... please give ...

Search
Members