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Popular >

extreme (5-x)(x+1)^2

Solution

extreme points

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

Solution

Minimum (- 1, 0), Maximum (3, 32)

Solution steps

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

Find intervals:

Decreasing

: - \infty < x < - 1,

Increasing

: - 1 < x < 3,

Decreasing

: 3 < x < \infty

Plug

x = - 1

into

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

Minimum (- 1, 0)

Plug

x = 3

into

(5 - x) (x + 1)^{2} : 32

Maximum (3, 32)

Minimum (- 1, 0), Maximum (3, 32)

Graph

Popular Examples

extreme f(x)=4x^7+9x^5-3x^4+2x^2-5 extreme points

f (x) = 4 x^{7} + 9 x^{5} - 3 x^{4} + 2 x^{2} - 5

extreme f(x,y)=x^2+y-e^{x+y}extreme points

f (x, y) = x^{2} + y - e^{x + y}

extreme f(x)=x^3+y^2-6x^2+y-1 extreme points

f (x) = x^{3} + y^{2} - 6 x^{2} + y - 1

extreme-x extreme points

- x

extreme f(x)=(3x)/(x+2)extreme points

f (x) = \frac{3 x}{x + 2}

Frequently Asked Questions (FAQ)

What is the extreme (5-x)(x+1)^2 ?
The extreme (5-x)(x+1)^2 is Minimum(-1,0),Maximum(3,32)