Pochodne Kamil: Pochodne czastkowe 1 i 2 rzedu F(x,y)=x^y

zef: f'(x)=yx^y−1 f'(y)=x^yInx

g: F_x = y*x^y−1 F_y = (e^ln(x)*y)' = ln(x)*x^y F_xx = (y−1)*y*x^y−2 F_yy = ln²(x)*x^y F_xy = x^y−1 + y*ln(x)*x^y−1 = x^y−1*(1 + y*ln(x)) F{yx) = (1/x)*x^y + ln(x)*y*x^y−1 = x^y−1*(1 + y*ln(x)) F_xy = F_yx dziwne co?