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Popular >

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

Solution

extreme points

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

Solution

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

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

Maximum (1, 4)

Plug

x = 3

into

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

Minimum (3, 0)

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

Popular Examples

intercepts of f(x)=-x^3+3 intercepts

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

inverse of (x+2)^2+1 inverse

(x + 2)^{2} + 1

intercepts of f(x)=(5x)/(x-5)intercepts

f (x) = \frac{5 x}{x - 5}

inverse of f(x)=(16-5x)/(3x)inverse

f (x) = \frac{16 - 5 x}{3 x}

domain of x/(x^2-6x+8)domain

\frac{x}{x ^{2} - 6 x + 8}

Frequently Asked Questions (FAQ)

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