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May 11th, 2015, 12:04 AM   #1
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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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