Need help on calc C

[Xylitol]

y^4 = y^2 - x^2
dy/dx = x/(y-2y^3)

Write the equation for any vertical tangents of the curve.
we're not allowed to use a calculator / graphing program to solve the problem, but I've graphed it just to see what it looks like

it looks like a figure 8

This is part (C) of (A)-(D), and i got the other ones

thanks

 

[Xylitol]

bump?

 

[Vehemence]

wat

 

[nonameo]

I could have done that 5 years ago.

 

[dude8604]

I'm pretty sure vertical tangents where the slope is undefined, b/c 1/0 = infinity which means a vertical slope.

 

[chuckywang]

Originally posted by: Xylitol
y^4 = y^2 - x^2
dy/dx = x/(y-2y^3)

Write the equation for any vertical tangents of the curve.
we're not allowed to use a calculator / graphing program to solve the problem, but I've graphed it just to see what it looks like

it looks like a figure 8

This is part (C) of (A)-(D), and i got the other ones

thanks

For vertical tangents, the slope is infinite, so the y - 2y^3 = 0.

Just be sure to check your answers.