Find the derivative of the vector function.

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

Problem

\mathbf{r}(t) = \sin^2 at \mathbf{i} + te^{bt} \mathbf{j} + \cos^2 ct \mathbf{k}