Question

Let $u(t)=($:$2,2t,t^2$:$)$ and $v(t)=($:$t^2,-2t,2$:$).$ Compute the derivative of the following function.

$u(t)v(t)$

$\frac{d}{dt}(u(t)v(t))=$

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Question

Compute the following derivative.

$\frac{d}{dt}[t^2(i+4j-4tk)*(e^{t_i}+4e^{t}j-2e^{-t}k)]$

$\frac{d}{dt}[t^2(i+4j-4tk)*(e^{t}i+4e^{t}j-2e^{-t}k)]=$

$$