What is the extreme x^3-3x^2-9x+230 ?

The extreme x^3-3x^2-9x+230 is Maximum(-1,235),Minimum(3,203)

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extreme x^3-3x^2-9x+230

extreme points

x^{3} - 3 x^{2} - 9 x + 230

Maximum (- 1, 235), Minimum (3, 203)

Solution steps

f^{'} (x) = 3 x^{2} - 6 x - 9

Find intervals:

Increasing

: - \infty < x < - 1,

Decreasing

: - 1 < x < 3,

Increasing

: 3 < x < \infty

Plug

x = - 1

into

x^{3} - 3 x^{2} - 9 x + 230 : 235

Maximum (- 1, 235)

Plug

x = 3

into

x^{3} - 3 x^{2} - 9 x + 230 : 203

Minimum (3, 203)

Maximum (- 1, 235), Minimum (3, 203)

What is the extreme x^3-3x^2-9x+230 ?
The extreme x^3-3x^2-9x+230 is Maximum(-1,235),Minimum(3,203)