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Popular >

extreme f(x)=x^3-12x^3

Solution

extreme points

f (x) = x^{3} - 12 x^{3}

Solution

Saddle (0, 0)

Solution steps

f^{'} (x) = - 33 x^{2}

Find intervals:

Decreasing

: - \infty < x < 0,

Decreasing

: 0 < x < \infty

Plug

x = 0

into

x^{3} - 12 x^{3} : 0

Saddle (0, 0)

Popular Examples

extreme x^3+2x^2+x+1 extreme points

x^{3} + 2 x^{2} + x + 1

extreme f(xy)=3x^2-5xy+2y^2+14x+7y-5 extreme points

f (x y) = 3 x^{2} - 5 x y + 2 y^{2} + 14 x + 7 y - 5

extreme f(x)=(2(x+7)^2)/(x+10),(-10,-6)extreme points

f (x) = \frac{2 ( x + 7 ) ^{2}}{x + 10}, (- 10, - 6)

extreme f(x,y)=x^6-3x^2y^2+3xy^3 extreme points

f (x, y) = x^{6} - 3 x^{2} y^{2} + 3 x y^{3}

extreme-x^3+x^2+8x+8 extreme points

- x^{3} + x^{2} + 8 x + 8

Frequently Asked Questions (FAQ)

What is the extreme f(x)=x^3-12x^3 ?
The extreme f(x)=x^3-12x^3 is Saddle(0,0)