SOLUTION: Hi there! Help would be super appreciated. This is for Calculus homework, but idk which category this would fit under. Find the points at which the graph of the equation has a

Question 1166989: Hi there! Help would be super appreciated. This is for Calculus homework, but idk which category this would fit under.
Find the points at which the graph of the equation has a vertical or horizontal tangent line.
81x^2+64y^2+1296x-1152y+5184=0
Answer by ikleyn(52814) (Show Source): You can put this solution on YOUR website!
.

This equation describes an ellipse.

You should transform this equation to the standard form ellipse equation.

Then you will know the coordinates of the ellipse vertices and co-vertices.

These points are what you are seeking for.

RELATED QUESTIONS
Hi there! Help would be super appreciated. This is for Calculus homework, but idk which (answered by ikleyn)

Hi there! Help would be super appreciated. This is for Calculus homework, but idk which (answered by solver91311)

18 − 6 � 3 � 2 + 7 I believe this is an expression but there wasnt a category... (answered by edjones)

I am not positive that this is a Trigonometry problem, but I have looked through all of... (answered by Alan3354,Edwin McCravy)

Limits to infinity I'm not sure if this is under the right label or if calculus can... (answered by jim_thompson5910)

Hi! My question is on the midpoint formula which is labeled under circles and parabolas... (answered by mananth)

I'm not sure if this is under the right label or if calculus can be answered on the site... (answered by KMST)

I need help solving the following for y in terms of x: x = y^4 + y^2 + 1 I... (answered by jim_thompson5910)

I really need help on this problem quickly!!! I'm a AP AB Calculus student, but this... (answered by 303795)