Ellipse, points where tangent line is vertical

Given the ellipse

x2/4 + y2/9 = 1

What are the points where the tangent line is vertical?

(In narrative, the problem reads: given the ellipse x squared divided by 4, plus y squared divided by 9, equals 1, what are the points where the tangent line is vertical? The problem is also attached in MS Word, in case you need it.)

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