What is the extreme f(x)=x^3-3x^2-24x ?

The extreme f(x)=x^3-3x^2-24x is Maximum(-2,28),Minimum(4,-80)

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extreme f(x)=x^3-3x^2-24x

extreme points

f (x) = x^{3} - 3 x^{2} - 24 x

Maximum (- 2, 28), Minimum (4, - 80)

Solution steps

f^{'} (x) = 3 x^{2} - 6 x - 24

Find intervals:

Increasing

: - \infty < x < - 2,

Decreasing

: - 2 < x < 4,

Increasing

: 4 < x < \infty

Plug

x = - 2

into

x^{3} - 3 x^{2} - 24 x : 28

Maximum (- 2, 28)

Plug

x = 4

into

x^{3} - 3 x^{2} - 24 x : - 80

Minimum (4, - 80)

Maximum (- 2, 28), Minimum (4, - 80)

f (x, y) = x^{3} - 6 x y + y^{3}

f (x) = 9 x^{3} - \frac{1}{x ^{3}}

x e^{- 3 x}

f (x) = - 2 x^{3} + 3 x^{2} + 36 x - 15

f (x, y) = x y - 3 x - 3 y - x^{2} - y^{2}

What is the extreme f(x)=x^3-3x^2-24x ?
The extreme f(x)=x^3-3x^2-24x is Maximum(-2,28),Minimum(4,-80)