A function g(x)g(x)g(x) is defined by g(x)=det(x2exsinxcosx)g(x) = \det \begin{pmatrix} x^2 & e^x \\ \sin x & \cos x \end{pmatrix}g(x)=det(x2sinxexcosx). Calculate g′(0)g'(0)g′(0).
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