What is the extreme S(r,α)=rα ?

The extreme S(r,α)=rα is Saddle(0,0)

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extreme S(r,α)=rα

extreme points

S (r, α) = r α

Saddle (0, 0)

Solution steps

Find the critical points:

(0, 0)

\frac{\partial ^{2} f}{\partial r ^{2}} = 0

D (r, α) = - 1

Check the sign of at each critical point

Check critical point

(0, 0) :

Saddle

Saddle (0, 0)

f (x, y) = 5004 + x^{2} + y^{2}

f (x) = 2 x^{3} - 6 x^{2} - 210 x + 1, - 6 \leq x \leq 8

f (x) = ln (x^{2} + 3 x + 9)

f (x) = 4 x^{2} + x^{2} = 2

f (x) = \frac{( x - ln ( x ) )}{x}