Home » Blog » Compute the first two derivatives of F(t) = (t, t2, t3, t4)

Compute the first two derivatives of F(t) = (t, t2, t3, t4)

Compute the derivatives F'(t) and F''(t) of the vector valued function

    \[ F(t) = (t, t^2, t^3, t^4). \]


We compute,

    \begin{align*}  F'(t) &= (1, 2t, 3t^2, 4t^3), \\  F''(t) &= (0, 2, 6t, 12t^2). \end{align*}

Point out an error, ask a question, offer an alternative solution (to use Latex type [latexpage] at the top of your comment):