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Popular >

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

Solution

extreme points

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

Solution

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

Solution steps

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

Find intervals:

Increasing

: - \infty < x < - 1,

Decreasing

: - 1 < x < 3,

Increasing

: 3 < x < \infty

Plug

x = - 1

into

(x + 3) (x - 3)^{2} : 32

Maximum (- 1, 32)

Plug

x = 3

into

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

Minimum (3, 0)

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

Popular Examples

extreme x^3-6xy+y^2+15x+4 extreme points

x^{3} - 6 x y + y^{2} + 15 x + 4

extreme f(x)=(1/12 x^3-1/2 x^2-12)extreme points

f (x) = (\frac{1}{12} x^{3} - \frac{1}{2} x^{2} - 12)

extreme 50-3x^2-4x+2xy-8y^2+78y extreme points

50 - 3 x^{2} - 4 x + 2 x y - 8 y^{2} + 78 y

extreme-3x^2+12x+120 extreme points

- 3 x^{2} + 12 x + 120

extreme x^2+xy+y^2-25y+208 extreme points

x^{2} + x y + y^{2} - 25 y + 208

Frequently Asked Questions (FAQ)

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