What is the extreme x^3-3x^2-9x+5 ?

The extreme x^3-3x^2-9x+5 is Maximum(-1,10),Minimum(3,-22)

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extreme x^3-3x^2-9x+5

extreme points

x^{3} - 3 x^{2} - 9 x + 5

Maximum (- 1, 10), Minimum (3, - 22)

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 + 5 : 10

Maximum (- 1, 10)

Plug

x = 3

into

x^{3} - 3 x^{2} - 9 x + 5 : - 22

Minimum (3, - 22)

Maximum (- 1, 10), Minimum (3, - 22)

\frac{x}{x ^{2} + 1}

f (x, y) = x^{6} + y^{3} - 3 x^{2} - 12 y

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

f (x, y) = 2 x y - 3 y - 5

f (x) = (x - y) (36 - x y)

What is the extreme x^3-3x^2-9x+5 ?
The extreme x^3-3x^2-9x+5 is Maximum(-1,10),Minimum(3,-22)