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Popular >

extreme y=xln(z)

Solution

extreme points

y = x ln (z)

Solution

Saddle (0, 1)

Solution steps

Find the critical points:

(0, 1)

\frac{\partial ^{2} f}{\partial x ^{2}} = - \frac{x}{z ^{2}}

D (x, z) = - \frac{1}{z ^{2}}

Check the sign of at each critical point

Check critical point

(0, 1) :

Saddle

Saddle (0, 1)

Graph

Popular Examples

extreme f(x)=(24)/x+4pix^2 extreme points

f (x) = \frac{24}{x} + 4 π x^{2}

extreme (4x)/(x^2+1),-3<= x<= 0 extreme points

\frac{4 x}{x ^{2} + 1}, - 3 \leq x \leq 0

extreme f(x)=(x^3)/3-x^2-8x-4 extreme points

f (x) = \frac{x ^{3}}{3} - x^{2} - 8 x - 4

extreme f(x)=x^4-5x^3+1.1x^2-10.2x+1 extreme points

f (x) = x^{4} - 5 x^{3} + 1.1 x^{2} - 10.2 x + 1

extreme (x-1)(x+9)^2 extreme points

(x - 1) (x + 9)^{2}

Frequently Asked Questions (FAQ)

What is the extreme y=xln(z) ?
The extreme y=xln(z) is Saddle(0,1)