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Popular >

extreme x^3-6x^2+9x-4

Solution

extreme points

x^{3} - 6 x^{2} + 9 x - 4

Solution

Maximum (1, 0), Minimum (3, - 4)

Solution steps

f^{'} (x) = 3 x^{2} - 12 x + 9

Find intervals:

Increasing

: - \infty < x < 1,

Decreasing

: 1 < x < 3,

Increasing

: 3 < x < \infty

Plug

x = 1

into

x^{3} - 6 x^{2} + 9 x - 4 : 0

Maximum (1, 0)

Plug

x = 3

into

x^{3} - 6 x^{2} + 9 x - 4 : - 4

Minimum (3, - 4)

Maximum (1, 0), Minimum (3, - 4)

Popular Examples

domain of sqrt((3-x)(-7-x))domain

(3 - x) (- 7 - x)

slope of y= 5/3 x-2 slope

y = \frac{5}{3} x - 2

asymptotes of (x^2)/(x^2+8)asymptotes

\frac{x ^{2}}{x ^{2} + 8}

domain of (x^2+4)^2 domain

(x^{2} + 4)^{2}

periodicity of f(x)= 5/2 cos(x/2)periodicity

f (x) = \frac{5}{2} cos (\frac{x}{2})

Frequently Asked Questions (FAQ)

What is the extreme x^3-6x^2+9x-4 ?
The extreme x^3-6x^2+9x-4 is Maximum(1,0),Minimum(3,-4)