matematykaszkolna.pl
Oblicz pochodne cząstkowe 2 rzędu. Vergo: f(x,y) = (x−y+1)2+(2x+y−4)2
28 lip 16:34
Trivial: http://www.wolframalpha.com/input/?i=d^2%2Fdx^2%28%28x-y%2B1%29^2+%2B+%282x%2By-4%29^2%29 http://www.wolframalpha.com/input/?i=d^2%2Fdxdy%28%28x-y%2B1%29^2+%2B+%282x%2By-4%29^2%29 http://www.wolframalpha.com/input/?i=d^2%2Fdy^2%28%28x-y%2B1%29^2+%2B+%282x%2By-4%29^2%29
28 lip 16:40
Mila: fx=2(x−y+1)*1+2(2x+y−4)*2=2x−2y+2+8x+4y−16=10x+2y−14 fxx=10 fxy=2 fy=−2(x−y+1)+2(2x+y−4)=−2x+2y−2+4x+2y−8=2x+4y−10 fyy=4 fyx=2
28 lip 21:02