Answer:
[tex]w_{uu} = 72u^{7}[/tex]
[tex]w_{uv} = w_{vu} = 0[/tex]
[tex]w_{vv} = 42v^{5}[/tex]
Step-by-step explanation:
We can have the second partial derivatives of w in relation to u, v and uv. So
[tex]w = u^{9} + v^{7}[/tex]
[tex]w_{u} = 9u^{8}[/tex]
[tex]w_{uu} = 72u^{7}[/tex]
[tex]w_{uv} = w_{vu} = 0[/tex]
[tex]w_{v} = 7v^{6}[/tex]
[tex]w_{vv} = 42v^{5}[/tex]
