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Popular Functions >

extreme f(x)=x^3-6x^2+12x-5

Solution

extreme points

f (x) = x^{3} - 6 x^{2} + 12 x - 5

Solution

Saddle (2, 3)

Solution steps

f^{'} (x) = 3 x^{2} - 12 x + 12

Find intervals:

Increasing

: - \infty < x < 2,

Increasing

: 2 < x < \infty

Plug

x = 2

into

x^{3} - 6 x^{2} + 12 x - 5 : 3

Saddle (2, 3)

Graph

Popular Examples

extreme f(x,y)=x^4-4x^2+y^4-8y^2+5 extreme points

f (x, y) = x^{4} - 4 x^{2} + y^{4} - 8 y^{2} + 5

extreme x^3-6x^2+9x+5 extreme points

x^{3} - 6 x^{2} + 9 x + 5

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

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

extreme f(x,y)=6-x-2y extreme points

f (x, y) = 6 - x - 2 y

extreme (x^3)/3-2x^2+3x extreme points

\frac{x ^{3}}{3} - 2 x^{2} + 3 x

Frequently Asked Questions (FAQ)

What is the extreme f(x)=x^3-6x^2+12x-5 ?
The extreme f(x)=x^3-6x^2+12x-5 is Saddle(2,3)