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Popular >

extreme 6+9x^2-6x^3

Solution

extreme points

6 + 9 x^{2} - 6 x^{3}

Solution

Minimum (0, 6), Maximum (1, 9)

Solution steps

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

Find intervals:

Decreasing

: - \infty < x < 0,

Increasing

: 0 < x < 1,

Decreasing

: 1 < x < \infty

Plug

x = 0

into

6 + 9 x^{2} - 6 x^{3} : 6

Minimum (0, 6)

Plug

x = 1

into

6 + 9 x^{2} - 6 x^{3} : 9

Maximum (1, 9)

Minimum (0, 6), Maximum (1, 9)

Popular Examples

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

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

extreme f(x)=2x+4sin(x)extreme points

f (x) = 2 x + 4 sin (x)

extreme f(x)=x^2-6x-8 extreme points

f (x) = x^{2} - 6 x - 8

extreme f(x)=6x^2-6 extreme points

f (x) = 6 x^{2} - 6

extreme 24x^3-24x^2 extreme points

24 x^{3} - 24 x^{2}

Frequently Asked Questions (FAQ)

What is the extreme 6+9x^2-6x^3 ?
The extreme 6+9x^2-6x^3 is Minimum(0,6),Maximum(1,9)