What is the extreme 2x^3-9x^2-24x+30 ?

The extreme 2x^3-9x^2-24x+30 is Maximum(-1,43),Minimum(4,-82)

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extreme 2x^3-9x^2-24x+30

extreme points

2 x^{3} - 9 x^{2} - 24 x + 30

Maximum (- 1, 43), Minimum (4, - 82)

Solution steps

f^{'} (x) = 6 x^{2} - 18 x - 24

Find intervals:

Increasing

: - \infty < x < - 1,

Decreasing

: - 1 < x < 4,

Increasing

: 4 < x < \infty

Plug

x = - 1

into

2 x^{3} - 9 x^{2} - 24 x + 30 : 43

Maximum (- 1, 43)

Plug

x = 4

into

2 x^{3} - 9 x^{2} - 24 x + 30 : - 82

Minimum (4, - 82)

Maximum (- 1, 43), Minimum (4, - 82)

What is the extreme 2x^3-9x^2-24x+30 ?
The extreme 2x^3-9x^2-24x+30 is Maximum(-1,43),Minimum(4,-82)