Multivariable & Vectorhard
0:00.0

Find the second-order directional derivative (the Hessian form) DuDvfD_{\mathbf{u}} D_{\mathbf{v}} f for f(x,y)=x2y+exsin(y)f(x, y) = x^2 y + e^x \sin(y) at (0,0)(0, 0) with u=1,0\mathbf{u} = \langle 1, 0 \rangle and v=0,1\mathbf{v} = \langle 0, 1 \rangle.