The potential energy function (in J ) of a particle in a region of...

Given $U = 2{x}^{2} + 3{y}^{3} + 2z$

The expression for the $x -$component of the force can be calculated as follows: 

$\begin{cases}{F}_{x} & = & - \dfrac{∂ U}{∂ x} \\ & = & - 4x\end{cases}$

Hence, at the point \left(1, 2, 3\right)m$, the value of the force is given by</p><p>$\begin{cases}\left|{F}_{x}\right| & = & \left|- 4 \times 1\right|N \\ & = & 4N\end{cases}$