Hello there ,
I'm currently a bit stuck as to where the start on the following question,
r = f(s,t) , a = s + pt; b = s - pt and r is twice differentiable.Find δaδbδ2r
My thoughts are that
δsδr=δaδrδsδa+δbδrδsδb=δaδr+δbδr
and
δtδr=δaδrδtδa+δbδrδtδb=pδaδr−pδbδr=p(δaδr−δbδr)
But not sure if this is going in the right direction and if so where to go.
Any help would be most appreciated
I'm currently a bit stuck as to where the start on the following question,
r = f(s,t) , a = s + pt; b = s - pt and r is twice differentiable.Find δaδbδ2r
My thoughts are that
δsδr=δaδrδsδa+δbδrδsδb=δaδr+δbδr
and
δtδr=δaδrδtδa+δbδrδtδb=pδaδr−pδbδr=p(δaδr−δbδr)
But not sure if this is going in the right direction and if so where to go.
Any help would be most appreciated