Question

find the indicated partial derivative for each function.
fx, fy, fxx, fyy, fxy, fyx
a) f(x,y) 3x^4y + 2xy^2- 5xy+8x-9y

Answer 1

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Answer 2

fx= 12x^3y+2y^2-5y+8;
fy=3x^4+4xy-5x-9;
fxx=\[\delta fx/\delta x\]=36x^2y;
fyy=4x;
fxy=d(fx)/dy =12x^3+4y-5;
fyx=12x^3+4y-5;

Answer 3

fyx = fxy , mixed partial derivatives

Answer 4

you get a nice tree when you start doing f xxx , and mixed partial derivatives