Mathematics 1 Deneme Sınavı Sorusu #1262220

Given that f(x,y)=(3lnx+1)/(e-3x) + (y²x²)/(x+y)

What is the value of the partial derivative of ?f / ?y at the point (1,2)=?


-1/2

0

1/2

1

3


Yanıt Açıklaması:

f(x,y)=(3lnx+1)/(e-3x) + (y²x²)/(x+y)

?f / ?y = [(2x²y).(x+y)-(x+y).1] / (x+y)²

By the way x=1,y=-1

?f / ?y = [(4).(3)-(3).1] / (3)²=1

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