Find the directional derivative of f(x, y)=xye^(-xy^2) at the point (1, 1) in the direction <2/sqrt(5), 1/sqrt(5)>. f=<ye^(-y^2), xe^(-2xy)> f(1, 1)=<e, e^-2> u=<2/sqrt(5),...
Find the directional derivative of f(x, y)=xye^(-xy^2) at the point (1, 1) in the direction <2/sqrt(5), 1/sqrt(5)>. f=<ye^(-y^2), xe^(-2xy)> f(1, 1)=<e, e^-2> u=<2/sqrt(5),...
Find the directional derivative of f(x, y)=x^2*y+4y^2 at (2, 1) for u=<1/2, sqrt(3)/2>. Answer: 2+6sqrt(3) <2xy, 8y> at (2, 1)=<4, 8> <4, 8>*<1/2, sqrt(3)/2>=2+4sqrt(3) This...