Mathematics

The key is to treat each component of the vector function independently—differentiate the $\mathbf{i}$, $\mathbf{j}$, and $\mathbf{k}$ parts separately using standard calculus rules. You'll need the product rule for the first two components and a quick simplification for the third. The derivative of a vector is just a vector of derivatives.

The key is to treat each component of the vector function independently—differentiate the $\mathbf{i}$, $\mathbf{j}$, and $\mathbf{k}$ parts separately using standard calculus rules. You'll need the product rule for the first two components and a quick simplification for the third. The derivative of a vector is just a vector of derivatives.