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For the curve $x=t^2-1, y=t^2-t$, where the tangent is parallel to x-axis is |
t = 0 t → ∞ $t=\frac{1}{\sqrt{3}}$ $t=-\frac{1}{\sqrt{3}}$ |
t = 0 |
$\frac{d x}{d t}=2 t$ Tangent is perpendicular to x-axis if $\frac{d x}{d t}=0 \Rightarrow t=0$. |
