# What is the derivative of a matrix transpose?

## Main Question or Discussion Point

Hi! As the title says, what is the derivative of a matrix transpose?

I am attempting to take the derivative of \dot{q} and \dot{p} with respect to p and q (on each one).

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Mark44
Mentor
Hi! As the title says, what is the derivative of a matrix transpose?

I am attempting to take the derivative of \dot{q} and \dot{p} with respect to p and q (on each one).

You have $\vec{q} = \begin{bmatrix} q_1 \\ q_2 \\ \vdots\\ q_n \end{bmatrix}$. $\dot{q}$ usually means the derivative with respect to t of $\vec{q}$: $\frac{d\vec{q}}{dt}$.
Without knowing more about this problem, I would guess that $\dot{q}$ is a vector that contains the derivatives (with respect to time) of $q_1, q_2, \dots, q_n$.