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Popular Functions >

extreme (x+1)(x-4)^2

Solution

extreme points

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

Solution

Maximum (\frac{2}{3}, \frac{500}{27}), Minimum (4, 0)

Solution steps

f^{'} (x) = (x - 4) (3 x - 2)

Find intervals:

Increasing

: - \infty < x < \frac{2}{3},

Decreasing

: \frac{2}{3} < x < 4,

Increasing

: 4 < x < \infty

Plug

x = \frac{2}{3}

into

(x + 1) (x - 4)^{2} : \frac{500}{27}

Maximum (\frac{2}{3}, \frac{500}{27})

Plug

x = 4

into

(x + 1) (x - 4)^{2} : 0

Minimum (4, 0)

Maximum (\frac{2}{3}, \frac{500}{27}), Minimum (4, 0)

Graph

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Frequently Asked Questions (FAQ)

What is the extreme (x+1)(x-4)^2 ?
The extreme (x+1)(x-4)^2 is Maximum(2/3 , 500/27),Minimum(4,0)