## Calculus 8th Edition

$dm=5p^{4}q^{3}dp+3p^{5}q^{2}dq$
Write the differential form such as: $dw=\dfrac{\partial w}{\partial x} \times dx + \dfrac{\partial w}{\partial y} \times dy$ Write the partial derivatives with respect to $p$ and $q$. $dm= \dfrac{\partial m}{\partial p} \times dp+\dfrac{\partial m}{\partial q} \times dq$ $\dfrac{\partial m}{\partial p} \times dp=(5) \times p^{4} \times q^{3}dp$ ....(1) and $\dfrac{\partial m}{\partial q} \times dq=(3) p^{5}q^{2}dq$ ...(2) From the equations (1) and (2) $dm=5p^{4}q^{3}dp+3p^{5}q^{2}dq$