Question

Find dy/dx by implicit differentiation.

Answer 1

\[x^2y+y^2x=−2\]

Answer 2

first take derivative of each x and y and wherever you take the derivative of a "y-func" throw in a dy/dx. Don't forget product rule.

Answer 3

2x*y+1(dy/dx)*x^2+2y(dy/dx)*x+y^2*x=-2

Answer 4

then solve for dy/dx

Answer 5

I got (2xy+2+y^2*x)/(-x^2-2*y*x)

Answer 6

That's the answer???

Answer 7

yep.

Answer 8

wait. No it isn't

Answer 9

I messed up. I didn't take the derivative of (-2). So now I got -(2xy+y^2)/(x^2+2xy). (I also had another mistake)

Answer 10

it's (-2xy-y^2)/(x^2+2xy)