First compute the first-order partial derivatives and find the critical points.
Both first order derivatives vanish at
Computing the Hessian, we get
We have
What is the rule: 36 --> 60, 12 --> 20, 6 --> 10, 15 --> 25
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First compute the first-order partial derivatives and find the critical points.
Both first order derivatives vanish at
Computing the Hessian, we get
We have
For this case we have that by definition of trigonometric relations of a rectangular triangle, that the sine of an angle is given by the opposite leg to the angle on the hypotenuse of the triangle. While the tangent of the same angle is given by the leg opposite the angle on the leg adjacent to the angle.
Then, according to the figure we have:
Answer: