Find Parametric Equations for the Tangent Line to the Curve $$x = \cos t , y = 4 e ^ { 6 t } , z = 4 e ^ { - 6 t } ; ( 1,4,4 )$$

Short Answer

Find parametric equations for the tangent line to the curve with the given parametric equations at the specified point.
$$x = \cos t , y = 4 e ^ { 6 t } , z = 4 e ^ { - 6 t } ; ( 1,4,4 )$$