The function f(x)f(x)f(x) is defined by the determinant f(x)=det(exx1ln(x))f(x) = \det \begin{pmatrix} e^x & x \\ 1 & \ln(x) \end{pmatrix}f(x)=det(ex1xln(x)). What is f′(1)f'(1)f′(1)?
e−1e - 1e−1
eee
e−2e-2e−2
111