Question3.7 Implicit Functions
For what point(s) on the curve $x^{2}+y^{2}=2 x$ is the tangent line vertical? $(1,-1)$ and $(0,0)$ $(0,0)$ $(1,1)$ and $(1,-1)$ $(0,0)$ and $(2,0)$

Studdy Solution
Verify which of the given options contain the points $(0, 0)$ and $(2, 0)$:
The correct option is $(0, 0)$ and $(2, 0)$.
The points on the curve where the tangent line is vertical are:
$$\boxed{(0, 0) \text{ and } (2, 0)}$$