Find the point(s) on the curve described by the vector function $\mathbf { r } ( t ) = \left\langle t ^ { 2 } + 2 t , t ^ { 3 } - 12 t \right\rangle$ where the tangent vector is horizontal or vertical.

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The Answer of Find the point(s) on the curve described by the vector function $\mathbf { r } ( t ) = \left\langle t ^ { 2 } + 2 t , t ^ { 3 } - 12 t \right\rangle$ where the tangent vector is horizontal or vertical.

Find the Point(s) on the Curve Described by the Vector r(t)=⟨t2+2t,t3−12t⟩\mathbf { r } ( t ) = \left\langle t ^ { 2 } + 2 t , t ^ { 3 } - 12 t \right\rangler(t)=⟨t2+2t,t3−12t⟩

Find the Point(s) on the Curve Described by the Vector $\mathbf { r } ( t ) = \left\langle t ^ { 2 } + 2 t , t ^ { 3 } - 12 t \right\rangle$