f(x,y)=10x5β3x2y6β4y4
Differentiate w.r.t x
f(x,y)xβ=50x4=6xy6
Again differentiate w.r.t x-
f(x,y)xxβ=200x3β6y6
f(1,2)xxβ=200(1)3β6(2)6=200β384=β184
f(1,β2)xxβ=200(1)3β6(β2)6=200β384=β184
Now differentiate w.r.t y-
f(x,y)yβ=β18x2y5β16y3
Again differentiate w.r.t. y-
f(x,y)yyβ=β90x2y4β48y2
f(1,2)yyβ=β90(1)2(2)4β48(2)2=β1440β192=β1632
f(1,β2)yyβ=β90(1)2(β2)4β48(β2)2=β1140β192=β1632
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