Wednesday

September 3, 2014

September 3, 2014

Posted by **Tom** on Sunday, May 12, 2013 at 12:37pm.

- Math (Calculus) (Implicit Differentiation) -
**Steve**, Sunday, May 12, 2013 at 3:32pm(x^2+y^2)^4=16x^2y^2

(x^2+y^2)^3 (x+yy') = 4xy^2 + 4x^2yy'

x(x^2+y^2)^3 + y(x^2+y^2)^3 y' = 4xy^2 + 4x^2yy'

(y(x^2+y^2)^3 - 4x^2y)y' = 4xy^2 - x(x^2+y^2)^3

y' = (4xy^2 - x(x^2+y^2)^3)/(y(x^2+y^2)^3 - 4x^2y)

at (1,-1) y' = (4-8)/(-8+4) = 1

So, now you have a point and a slope, so

y+1 = 1(x-1)

...

**Answer this Question**

**Related Questions**

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 ...

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

COLLEGE CALCULUS. - Use implicit differentiation to find the equation of the ...

Calc, Implicit Differentiation - Regard y as independent variable and x as ...

Math / Calculus - Use implicit differentiation to find an equation of the ...

Calculus - I am unsure of how to take the derivative of this equation. It may be...

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

Calculus - Use implicit differentiation to write the slope-intercept equation of...