For the $f(t)=(t^2,t^3)$ function we have
\VECTORfunction
    {\SQUAREfunction}{\CUBEfunction}{\F}

\F{4}{\solx}{\Dsolx}{\soly}{\Dsoly}

\[
f(4)=(\solx,\soly), f'(4)=(\Dsolx,\Dsoly)
\]