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Popular >

extreme-x^3-9x^2

Solution

extreme points

- x^{3} - 9 x^{2}

Solution

Minimum (- 6, - 108), Maximum (0, 0)

Solution steps

f^{'} (x) = - 3 x^{2} - 18 x

Find intervals:

Decreasing

: - \infty < x < - 6,

Increasing

: - 6 < x < 0,

Decreasing

: 0 < x < \infty

Plug

x = - 6

into

- x^{3} - 9 x^{2} : - 108

Minimum (- 6, - 108)

Plug

x = 0

into

- x^{3} - 9 x^{2} : 0

Maximum (0, 0)

Minimum (- 6, - 108), Maximum (0, 0)

Graph

Popular Examples

extreme y=(x^2+2)/(x^2-25)extreme points

y = \frac{x ^{2} + 2}{x ^{2} - 25}

extreme f(x)=-sin(x)-4,(0,2pi)extreme points

f (x) = - sin (x) - 4, (0, 2 π)

extreme f(x)=(x+5)/(x^2-4)extreme points

f (x) = \frac{x + 5}{x ^{2} - 4}

extreme f(x)=6+9x^2-6x^3 extreme points

f (x) = 6 + 9 x^{2} - 6 x^{3}

extreme f(x)=14x+17x^{14/17}extreme points

f (x) = 14 x + 17 x^{\frac{14}{17}}

Frequently Asked Questions (FAQ)

What is the extreme-x^3-9x^2 ?
The extreme-x^3-9x^2 is Minimum(-6,-108),Maximum(0,0)