Question

calculus question!
find the points at which the graph of the equation has a vertical and or horizontal tangent line.
5x^2+8y^2+10x+48y+8=0

Answer 1

A horizontal tangent line is going to be where the slope is equal to zero, so first thing to do is find the slope.

Answer 2

okay

Answer 3

so first find the derivative then?

Answer 4

Exactly.

Answer 5

So you'll need to get y apart from everything first, and take the derivative. Set that equal to zero, and solve for x.

Answer 6

For a vertical tangent, think of what the slope of a vertical line is.

Answer 7

so solve by implicit differentiatioN?

Answer 8

yes?

Answer 9

I should have looked closer, but this is an ellipse...I missed one of the Ys.

Answer 10

ok

Answer 11

so this means?

Answer 12

So this means I'm a dork and shouldn't have jumped in so quickly...sorry. :P

Answer 13

ok thanks