Tuesday

January 27, 2015

January 27, 2015

Posted by **lana** on Friday, June 26, 2009 at 12:45pm.

x^2y + y^2x = 3

- Math -
**Count Iblis**, Friday, June 26, 2009 at 12:59pmd[x^2y + y^2x] = 0 -->

2xydx + x^2dy + 2xydy + y^2dx = 0 ---->

(2xy + y^2)dx + (2xy + x^2) dy = 0 ---->

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

- Math -
**Reiny**, Friday, June 26, 2009 at 1:01pmuse the product rule for each term on the left side

x^2(dy/dx) + y(2x)(dx/dx) + y^2(dx/dx) + x(2y)(dy/dx) = 0

x^2(dy/dx) + 2xy + y^2 + 2xy(dy/dx) = 0

dy/dx is a common factor, so ...

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

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

**Answer this Question**

**Related Questions**

Math - Suppose that x and y are related by the equation x^2/4 + y^3/2 = 4. Use ...

Calculus 1 - implicit differentiation - I do not understand implicit ...

Calculus 1 - implicit differentiation - I do not understand implicit ...

Calculus - How do you use imlicit differentiation to differentiate e^(xy)? I ...

Math - Calculus Question. - hey can someone explain to me the relationship ...

Calculus - Use implicit differentiation to find an equation of the tangent line ...

Calculus - Use implicit differentiation to find an equation of the tangent line ...

calculus - use implicit differentiation to find an equation of the tangent line ...

Calculus: implicit differentiation - Find dy/dx by implicit differentiation 1. x...

calculus - Use implicit differentiation to find an equation of the tangent line ...