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Popular >

extreme (x+3)^4(2-x)

Solution

extreme points

(x + 3)^{4} (2 - x)

Solution

Minimum (- 3, 0), Maximum (1, 256)

Solution steps

f^{'} (x) = - 5 (x + 3)^{3} (x - 1)

Find intervals:

Decreasing

: - \infty < x < - 3,

Increasing

: - 3 < x < 1,

Decreasing

: 1 < x < \infty

Plug

x = - 3

into

(x + 3)^{4} (2 - x) : 0

Minimum (- 3, 0)

Plug

x = 1

into

(x + 3)^{4} (2 - x) : 256

Maximum (1, 256)

Minimum (- 3, 0), Maximum (1, 256)

Graph

Popular Examples

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f (x, y) = x^{2} + x y + y^{2} + 4 y

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

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

Frequently Asked Questions (FAQ)

What is the extreme (x+3)^4(2-x) ?
The extreme (x+3)^4(2-x) is Minimum(-3,0),Maximum(1,256)