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Popular >

extreme (x-1)(x+9)^2

Solution

extreme points

(x - 1) (x + 9)^{2}

Solution

Maximum (- 9, 0), Minimum (- \frac{7}{3}, - \frac{4000}{27})

Solution steps

f^{'} (x) = (x + 9) (3 x + 7)

Find intervals:

Increasing

: - \infty < x < - 9,

Decreasing

: - 9 < x < - \frac{7}{3},

Increasing

: - \frac{7}{3} < x < \infty

Plug

x = - 9

into

(x - 1) (x + 9)^{2} : 0

Maximum (- 9, 0)

Plug

x = - \frac{7}{3}

into

(x - 1) (x + 9)^{2} : - \frac{4000}{27}

Minimum (- \frac{7}{3}, - \frac{4000}{27})

Maximum (- 9, 0), Minimum (- \frac{7}{3}, - \frac{4000}{27})

Graph

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Frequently Asked Questions (FAQ)

What is the extreme (x-1)(x+9)^2 ?
The extreme (x-1)(x+9)^2 is Maximum(-9,0),Minimum(-7/3 ,-4000/27)