Oblicz pochodną cząstkową pierwszego i drugiego rzędu: [latex]sin^2(2x+y)[/latex]

[latex]f(x,y)=sin^2(2x+y) \ \ frac{ partial f}{ partial x} =2sin(2x+y)*cos(2x+y)*2=2sin(4x+2y) \ \ frac{ partial ^2f}{ partial x^2} =2cos(4x+2y)*4 \ \ frac{ partial f}{ partial y}=2sin(2x+y)*cos(2x+y)=sin(4x+2y) \ \ frac{ partial ^2f}{ partial y^2} =cos(4x+2y)*2 \ \ frac{ partial ^2f}{ partial x partial y}= frac{ partial ^2f}{ partial y partial x}=cos(4x+2y)* 4 [/latex]