anonymous 5 years ago 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

1. Owlfred

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2. anonymous

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;

3. anonymous

fyx = fxy , mixed partial derivatives

4. anonymous

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