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Popular >

extreme e^{xy}

Solution

extreme points

e^{x y}

Solution

Saddle (0, 0)

Solution steps

Find the critical points:

(0, 0)

\frac{\partial ^{2} f}{\partial x ^{2}} = e^{x y} x^{2}

D (x, y) = - 2 e^{2 x y} x y - e^{2 x y}

Check the sign of at each critical point

Check critical point

(0, 0) :

Saddle

Saddle (0, 0)

Popular Examples

extreme xsqrt(49-x^2)extreme points

x 49 - x^{2}

extreme f(x,y)=x^2-y^2-xy+4x-2y extreme points

f (x, y) = x^{2} - y^{2} - x y + 4 x - 2 y

extreme f(x)=2x^3+3x^2-72x+4,-4<= x<= 6 extreme points

f (x) = 2 x^{3} + 3 x^{2} - 72 x + 4, - 4 \leq x \leq 6

extreme 2x extreme points

2 x

extreme f(x)=(x-3)/(x^2-9)extreme points

f (x) = \frac{x - 3}{x ^{2} - 9}

Frequently Asked Questions (FAQ)

What is the extreme e^{xy} ?
The extreme e^{xy} is Saddle(0,0)