Let . Determine the equation of the tangent line to the curve at in point–slope form…

MATHEMATICS · Subjective · AP · Calculus BC · Parametric, Polar, and Vector-Valued Functions · Parametric, Polar, and Vector-Valued Functions

Problem

Let

\mathbf r(t)=\langle 3t^{2}-1,\,2t^{3}+4\rangle

. Determine the equation of the tangent line to the curve at

t=1

in point–slope form in the

xy

-plane.