[Math] Find parametric equations for the tangent line to the curve with the given parametric equations at the specified point.

calculusparametric

Find parametric equations for the tangent line to the curve
with the given parametric equations at the specified point.

<1+2$\sqrt{t}$ ,$t^{3}$-1 , $t^{3}$+1 > at point P(3,0,2)

Best Answer

Call your curve $c$, then $t=1$ and the tangent line is achieved as usual: $$s\mapsto c(t)+s\cdot \dot c(t)=(3,0,2)+s(1,3,3). $$

Michael