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

The extreme f(x)=x^3-3x^2-24x+2 is Maximum(-2,30),Minimum(4,-78)

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

extreme points

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

Maximum (- 2, 30), Minimum (4, - 78)

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 + 2 : 30

Maximum (- 2, 30)

Plug

x = 4

into

x^{3} - 3 x^{2} - 24 x + 2 : - 78

Minimum (4, - 78)

Maximum (- 2, 30), Minimum (4, - 78)

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

f (x) = - x^{2} + 2 x + 1

f (x) = x^{4} - 2 x^{2} - 8

f (x, y) = 2 - 1 + x + y

f (x) = 3 - 4 sin (3 x), (0, 2 π)

What is the extreme f(x)=x^3-3x^2-24x+2 ?
The extreme f(x)=x^3-3x^2-24x+2 is Maximum(-2,30),Minimum(4,-78)