Determine for .

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

Problem

Determine

\mathbf{r}'(0)

for

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

. (a)

\langle 3,1,0\rangle

(b)

\langle 1,0,0\rangle

(c)

\langle 3,0,0\rangle

(d)

\langle 3,0,4\rangle