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Popular >

extreme (x-1)^2(2x-8)

Solution

extreme points

(x - 1)^{2} (2 x - 8)

Solution

Maximum (1, 0), Minimum (3, - 8)

Solution steps

f^{'} (x) = 6 (x - 1) (x - 3)

Find intervals:

Increasing

: - \infty < x < 1,

Decreasing

: 1 < x < 3,

Increasing

: 3 < x < \infty

Plug

x = 1

into

(x - 1)^{2} (2 x - 8) : 0

Maximum (1, 0)

Plug

x = 3

into

(x - 1)^{2} (2 x - 8) : - 8

Minimum (3, - 8)

Maximum (1, 0), Minimum (3, - 8)

Popular Examples

extreme y=4x^{3/4}-x(256)extreme points

y = 4 x^{\frac{3}{4}} - x (256)

extreme f(x)=sqrt(64-x^2),-8<= x<= 8 extreme points

f (x) = 64 - x^{2}, - 8 \leq x \leq 8

extreme-(2e^x)/(-4x-1)extreme points

- \frac{2 e ^{x}}{- 4 x - 1}

extreme f(x)= 4/(4x^2-1)+b extreme points

f (x) = \frac{4}{4 x ^{2} - 1} + b

extreme f(x)=3x^2-36x+81 extreme points

f (x) = 3 x^{2} - 36 x + 81

Frequently Asked Questions (FAQ)

What is the extreme (x-1)^2(2x-8) ?
The extreme (x-1)^2(2x-8) is Maximum(1,0),Minimum(3,-8)