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Popular >

extreme x^3-3x^2-9x

Solution

extreme points

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

Solution

Maximum (- 1, 5), Minimum (3, - 27)

Solution steps

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

Find intervals:

Increasing

: - \infty < x < - 1,

Decreasing

: - 1 < x < 3,

Increasing

: 3 < x < \infty

Plug

x = - 1

into

x^{3} - 3 x^{2} - 9 x : 5

Maximum (- 1, 5)

Plug

x = 3

into

x^{3} - 3 x^{2} - 9 x : - 27

Minimum (3, - 27)

Maximum (- 1, 5), Minimum (3, - 27)

Popular Examples

domain of (1+sqrt(1-x))/(1-sqrt(1+x))domain

\frac{1 + 1 - x}{1 - 1 + x}

inverse of 1/(x+7)inverse

\frac{1}{x + 7}

extreme f(x)=(7x)/(x^2+49)extreme points

f (x) = \frac{7 x}{x ^{2} + 49}

domain of f(x)=sqrt((x-1)/(x^2-9))domain

f (x) = \frac{x - 1}{x ^{2} - 9}

domain of f(x)=2x^2-5x+1 domain

f (x) = 2 x^{2} - 5 x + 1

Frequently Asked Questions (FAQ)

What is the extreme x^3-3x^2-9x ?
The extreme x^3-3x^2-9x is Maximum(-1,5),Minimum(3,-27)