(Don't copy the answer)We assume that the demand for a good X as a function of price p and income m is modeled by the function

D = f(p,m) = m²e^p

^{a)find f_p (2, 1, ) and f_m (2, 1). Interpret your results.}

^{b) Calculate the second partial derivatives of f and deduce the Hessian matrix at point (2, 1).}