My Math Forum Gradient and Hessian

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 May 11th, 2015, 12:04 AM #1 Newbie   Joined: May 2015 From: Australia Posts: 1 Thanks: 0 Gradient and Hessian Finding the gradient and Hessian of: f(x,y) = x^2+2xy+3y^2 At any stationary point determine if the Hessian is positive (semi) definite, negative (semi) definite or none of these. What can you conclude from this about optimal points for the function? I've found the partial derivatives df/dx = 2x+2y df/dy=2x+6y When setting to 0, both equation yields 0... Then I proceed by finding the gradient using the Hessian matrix. Is there something that I'm doing incorrectly?

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