Answer to Question #168564 in Calculus for Mohammad

Question

Find all second order partial derivatives of f. And verify whether fxy=fyx at any (x,y) for each f. F(x,y)=y cos x-e×

Answer 1

F(x,y)=y*cos(x) - e^x

F_x = -y*sin(x) - e^x

F_x,x = - y*cos(x) - e^x

F_y,x = -sin(x)

F_x,y = -sin(x)

F_y,y =0

F_y = cos(x)