Question

Calculus!
Find the coordinates of the points on the curve where the tangents are vertical.

Answer 1

\[x^2-xy+y^2=9\]

Answer 2

\[\frac{ dy }{ dx }=\frac{ y-2x }{ 2y-x }\]

Answer 3

Do you mean by tangent is the first derivative?

Answer 4

No i found the derivative before. I gotta find the tangent line where its vertical of the first equation, if thats what you're asking.

Answer 5

So how can I help you,sister?

Answer 6

How do I find the y or x value when the slope is undefined..?

Answer 7

what is the slope of a vertical line?

Answer 8

it is 1/0

Answer 9

the first derivative (or slope of tangent) is undefined.
for that, denominator will be = 0

2y -x = 0

Answer 10

yes

Answer 11

Yeah i got to that but then what? Solve for y then plug that in for y?

Answer 12

yes

x =2y

plug that in
x^2−xy+y^2=9

Answer 13

Ahh thank you so much <3