What is the extreme 4/3 x^3-6x^2-40x-28 ?

The extreme 4/3 x^3-6x^2-40x-28 is Maximum(-2, 52/3),Minimum(5,-634/3)

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extreme 4/3 x^3-6x^2-40x-28

extreme points

\frac{4}{3} x^{3} - 6 x^{2} - 40 x - 28

Maximum (- 2, \frac{52}{3}), Minimum (5, - \frac{634}{3})

Solution steps

f^{'} (x) = 4 x^{2} - 12 x - 40

Find intervals:

Increasing

: - \infty < x < - 2,

Decreasing

: - 2 < x < 5,

Increasing

: 5 < x < \infty

Plug

x = - 2

into

\frac{4}{3} x^{3} - 6 x^{2} - 40 x - 28 : \frac{52}{3}

Maximum (- 2, \frac{52}{3})

Plug

x = 5

into

\frac{4}{3} x^{3} - 6 x^{2} - 40 x - 28 : - \frac{634}{3}

Minimum (5, - \frac{634}{3})

Maximum (- 2, \frac{52}{3}), Minimum (5, - \frac{634}{3})

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

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

f (x, y) = 3 x^{3} - (y + 1)^{3} - 9 x y + 3 y + 1

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

f (x) = - 3 (x + 2) e^{4 x}, (- 5, 0)

What is the extreme 4/3 x^3-6x^2-40x-28 ?
The extreme 4/3 x^3-6x^2-40x-28 is Maximum(-2, 52/3),Minimum(5,-634/3)