What is the extreme u=x^2+5w(x)sqrt(x+3) ?

The extreme u=x^2+5w(x)sqrt(x+3) is Saddle(0,0)

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extreme u=x^2+5w(x)sqrt(x+3)

extreme points

u (x, w) = x^{2} + 5 w (x) x + 3

Saddle (0, 0)

Solution steps

Find the critical points:

(0, 0)

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

D (x, w) = - \frac{225 ( x + 2 ) ^{2}}{4 ( x + 3 )}

Check the sign of at each critical point

Check critical point

(0, 0) :

Saddle

Saddle (0, 0)

f (x, y) = 3 x^{2} - 2 y^{2}

K (r, s) = 4 r - 9 s

f (x, y) = 3 x y - x^{3} + y^{3}

f (x) = 0.6 x^{2} - 660 x - 6000

f (x) = \frac{x ^{2} - 1}{x ^{3}}

What is the extreme u=x^2+5w(x)sqrt(x+3) ?
The extreme u=x^2+5w(x)sqrt(x+3) is Saddle(0,0)