What is the extreme 330x^2-1320x^3 ?

The extreme 330x^2-1320x^3 is Minimum(0,0),Maximum(1/6 , 55/18)

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extreme 330x^2-1320x^3

extreme points

330 x^{2} - 1320 x^{3}

Minimum (0, 0), Maximum (\frac{1}{6}, \frac{55}{18})

Solution steps

f^{'} (x) = 660 x - 3960 x^{2}

Find intervals:

Decreasing

: - \infty < x < 0,

Increasing

: 0 < x < \frac{1}{6},

Decreasing

: \frac{1}{6} < x < \infty

Plug

x = 0

into

330 x^{2} - 1320 x^{3} : 0

Minimum (0, 0)

Plug

x = \frac{1}{6}

into

330 x^{2} - 1320 x^{3} : \frac{55}{18}

Maximum (\frac{1}{6}, \frac{55}{18})

Minimum (0, 0), Maximum (\frac{1}{6}, \frac{55}{18})

f (x) = \frac{∣ x - 3 ∣}{x ^{2} - 9}

y = x^{4} ln (\frac{x}{10})

f (x) = \frac{18}{( x ^{2} - 9 )}

f (x) = x^{3} - x^{2} - x + 7, - 1 \leq x \leq 2

g (t) = 8 t - t^{4}

What is the extreme 330x^2-1320x^3 ?
The extreme 330x^2-1320x^3 is Minimum(0,0),Maximum(1/6 , 55/18)