turkey-yks 2013 Q42

turkey-yks · Other · lys1-math Implicit equations and differentiation Horizontal tangent point on implicit curve (single-step)

In the analytic plane
$$x y ^ { 2 } - x ^ { 3 } y - 6 = 0$$
Given that the tangent line passing through the point $\mathbf { P } \left( \mathbf { x } _ { 0 } , \mathbf { y } _ { 0 } \right)$ on the curve given by the equation is parallel to the x-axis, what is $\mathrm { x } _ { 0 }$?
A) $- 3$
B) $- 2$
C) $\frac { - 3 } { 2 }$

In the analytic plane

$$x y ^ { 2 } - x ^ { 3 } y - 6 = 0$$

Given that the tangent line passing through the point $\mathbf { P } \left( \mathbf { x } _ { 0 } , \mathbf { y } _ { 0 } \right)$ on the curve given by the equation is parallel to the x-axis, what is $\mathrm { x } _ { 0 }$?\\
A) $- 3$\\
B) $- 2$\\
C) $\frac { - 3 } { 2 }$

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