Chapter 14 - Partial Derivatives - Review - Exercises - Page 993: 22

$v_{rr}=0$ $v_{rs}=-sin(s+2t)$ $v_{rt}=-2sin(s+2t)$ $v_{sr}=-sin(s+2t)$ $v_{ss}=-rcos(s+2t)$ $v_{st}=-2rcos(s+2t)$ $v_{tr}=-2sin(s+2t)$ $v_{ts}=-2rcos(s+2t)$ $v_{tt}=-4rcos(s+2t)$

Given: $v=rcos(s+2t)$ $v_{rr}=0$ $v_{rs}=-sin(s+2t)$ $v_{rt}=-2sin(s+2t)$ $v_{sr}=-sin(s+2t)$ $v_{ss}=-rcos(s+2t)$ $v_{st}=-2rcos(s+2t)$ $v_{tr}=-2sin(s+2t)$ $v_{ts}=-2rcos(s+2t)$ $v_{tt}=-4rcos(s+2t)$