What is the extreme x^3-3x^2-9x+4 ?

The extreme x^3-3x^2-9x+4 is Maximum(-1,9),Minimum(3,-23)

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extreme x^3-3x^2-9x+4

extreme points

x^{3} - 3 x^{2} - 9 x + 4

Maximum (- 1, 9), Minimum (3, - 23)

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 + 4 : 9

Maximum (- 1, 9)

Plug

x = 3

into

x^{3} - 3 x^{2} - 9 x + 4 : - 23

Minimum (3, - 23)

Maximum (- 1, 9), Minimum (3, - 23)

0.001 x^{3} + 8 x + 16

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

f (x) = x (85 - 0.05 x) - (600 + 35 x)

f (x) = x 5 - x^{2}

P (x, y) = x^{2} - y^{2} + 6 y - 9

What is the extreme x^3-3x^2-9x+4 ?
The extreme x^3-3x^2-9x+4 is Maximum(-1,9),Minimum(3,-23)