Thread: Implicit Differentiation

Can somebody help me with this please?


Find the points on (x^2/6) - (y^2/9) = -1 whose tangents are either vertical or horizontal.


Thanks!

Originally Posted by ty2391

Can somebody help me with this please?


Find the points on (x^2/6) - (y^2/9) = -1 whose tangents are either vertical or horizontal.


Thanks!

find the derivative of the function implicitly. the tangent line is horizontal where the derivative is zero, it is vertical where the derivative is undefined

you do not have to do it implicitly, you may solve for y first if you wish

Thanks.

I got y'= 9x/16y. So, if that equals 0, x=0, so the points on the equation where the tangent is horizontal are (0,3) and (0,-3)?

Where do I go when I tackle the vertical tangents though?

Figured it out. Thank you for your help!

Originally Posted by ty2391

Figured it out. Thank you for your help!

you're welcome