What is the extreme 1x^3-4x^2-3x+30 ?

The extreme 1x^3-4x^2-3x+30 is Maximum(-1/3 , 824/27),Minimum(3,12)

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extreme 1x^3-4x^2-3x+30

extreme points

1 x^{3} - 4 x^{2} - 3 x + 30

Maximum (- \frac{1}{3}, \frac{824}{27}), Minimum (3, 12)

Solution steps

f^{'} (x) = 3 x^{2} - 8 x - 3

Find intervals:

Increasing

: - \infty < x < - \frac{1}{3},

Decreasing

: - \frac{1}{3} < x < 3,

Increasing

: 3 < x < \infty

Plug

x = - \frac{1}{3}

into

1 x^{3} - 4 x^{2} - 3 x + 30 : \frac{824}{27}

Maximum (- \frac{1}{3}, \frac{824}{27})

Plug

x = 3

into

1 x^{3} - 4 x^{2} - 3 x + 30 : 12

Minimum (3, 12)

Maximum (- \frac{1}{3}, \frac{824}{27}), Minimum (3, 12)

f (x) = - 4 x^{3} - 6 x^{2} + 144 x - 11

f (x) = 3 x^{\frac{4}{3}} - 2 x

y = 43 x + 8 cos (x), 0 \leq x \leq 2 π

f (x) = x^{3} - 6 x^{2} - 63 x + 7, - 4 \leq x \leq 8

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

What is the extreme 1x^3-4x^2-3x+30 ?
The extreme 1x^3-4x^2-3x+30 is Maximum(-1/3 , 824/27),Minimum(3,12)