Find the second-order partial derivatives of the given function. In each case, show that the mixed partial derivatives f_{xy} and f_{yx} are equal.
Function:
f(x,y)=x^{3}+x^{2}y+x+4
My work (Correct me if I am wrong):
\frac{\partial{f}}{\partial{x}}}=3x^{2}+2xy+1...