Question

I'm not sure I did this right? Please help!

I'm supposed to find the the tangent line to the ellipse

Answer 1

I get a slope of 3/8...not - 3/8. Check your signs

Answer 2

Checked them, and still have -3/8

Answer 3

\[2x \frac{ dx }{ dx }+8y \frac{ dy }{ dx }=0\Rightarrow \frac{ dy }{ dx }=-\frac{ 2x }{8y}=-\frac{ x }{ 4y }\]

slope at (3., -2) = 3/8

Answer 4

Differentiating your original equation, did you get
2x + 8yy' = 0 ?

Answer 5

Yeah

Answer 6

you have a negative slope when it should be positive

Answer 7

ok,solve that for y', you get -2x / 8y which simplifies to -x / 4y

Answer 8

Oh, I randomly put a negative there. That makes sense now. Thanks haha

Answer 9

unbelievable