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

Question

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

thatonegirl_ · Answer

$$x^2-xy+y^2=9$$

thatonegirl_ · Answer

$$\frac{ dy }{ dx }=\frac{ y-2x }{ 2y-x }$$

3mar · Answer

Do you mean by tangent is the first derivative?

thatonegirl_ · Answer

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.

3mar · Answer

So how can I help you,sister?

thatonegirl_ · Answer

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

hartnn · Answer

what is the slope of a vertical line?

3mar · Answer

it is 1/0

hartnn · Answer

the first derivative (or slope of tangent) is undefined. 
for that, denominator will be = 0

2y -x = 0

thatonegirl_ · Answer

yes

thatonegirl_ · Answer

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

hartnn · Answer

yes

x =2y 

plug that in
x^2−xy+y^2=9

thatonegirl_ · Answer

Ahh thank you so much <3