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Popular >

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

Solution

extreme points

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

Solution

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

Solution steps

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

Find intervals:

Increasing

: - \infty < x < - 1,

Decreasing

: - 1 < x < 1,

Increasing

: 1 < x < \infty

Plug

x = - 1

into

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

Maximum (- 1, 0)

Plug

x = 1

into

(x + 1)^{2} (x - 2) : - 4

Minimum (1, - 4)

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

Popular Examples

extreme f(x)=x^5-5x^4+5 extreme points

f (x) = x^{5} - 5 x^{4} + 5

extreme f(x)=x^2+y^2+8x-12y-7 extreme points

f (x) = x^{2} + y^{2} + 8 x - 12 y - 7

extreme 4x^3-48x-6 extreme points

4 x^{3} - 48 x - 6

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

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

extreme 300x-4x^3 extreme points

300 x - 4 x^{3}

Frequently Asked Questions (FAQ)

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