Let X1.Xn be a random sample from a gamma distribution with parameters alpha and beta. Derive the equations whose solution yields the maximum...

Let X1...Xn be a random sample from a gamma distribution with parameters alpha and beta. Derive the equations whose solution yields the maximum likelihood estimators of alpha and beta. do you think they can be solved explicitly? show that the mle of the mean = (alpha)x(beta) is mean(hat)=X(bar)?can i simply take the derivative of the gamma distribution and set it equal to zero and solve for alpha and beta to find the mle?Thanks.