Question

Implicit Differentiation Problem, See comments for formula.

Answer 1

\[x ^{2}y=-1 \] Find the equation of the tangent line that passes through the points (1,-1)

Answer 2

\[2xy+x^2y'=0\] replace x by 1, y by -1, solve for
\[y'\]

Answer 3

I am sure I have the differentiation correct, with;

But how do I use this to find the equation of the line?

Answer 4

once you find the slope, use the point-slope formula

Answer 5

Could you refresh my memory on the Point-slope formula?

Answer 6

\[y-y_1=m(x-x_1)\]

Answer 7

So, because I am tasked to find the slope of the tangent line through (1,-1) Would these coordinates be "x1", "y1"? and if so, what would be "y" and "x"?

Answer 8

I am a little confused because of the two variables.

Answer 9

\[x_1=1,y_1=-1\] m is the slope you need to find from implicit differentiation