What is the extreme f(x)=9x^2-2x^3 ?

The extreme f(x)=9x^2-2x^3 is Minimum(0,0),Maximum(3,27)

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extreme f(x)=9x^2-2x^3

extreme points

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

Minimum (0, 0), Maximum (3, 27)

Solution steps

f^{'} (x) = 18 x - 6 x^{2}

Find intervals:

Decreasing

: - \infty < x < 0,

Increasing

: 0 < x < 3,

Decreasing

: 3 < x < \infty

Plug

x = 0

into

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

Minimum (0, 0)

Plug

x = 3

into

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

Maximum (3, 27)

Minimum (0, 0), Maximum (3, 27)

f (x) = e^{a r c t a n (x)}

y = 2 x + 3, (3, 1)

(x - 3)^{2}

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

What is the extreme f(x)=9x^2-2x^3 ?
The extreme f(x)=9x^2-2x^3 is Minimum(0,0),Maximum(3,27)