What is the extreme x^5-5x^3-20x-2 ?

The extreme x^5-5x^3-20x-2 is Maximum(-2,46),Minimum(2,-50)

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extreme x^5-5x^3-20x-2

extreme points

x^{5} - 5 x^{3} - 20 x - 2

Maximum (- 2, 46), Minimum (2, - 50)

Solution steps

f^{'} (x) = 5 x^{4} - 15 x^{2} - 20

Find intervals:

Increasing

: - \infty < x < - 2,

Decreasing

: - 2 < x < 2,

Increasing

: 2 < x < \infty

Plug

x = - 2

into

x^{5} - 5 x^{3} - 20 x - 2 : 46

Maximum (- 2, 46)

Plug

x = 2

into

x^{5} - 5 x^{3} - 20 x - 2 : - 50

Minimum (2, - 50)

Maximum (- 2, 46), Minimum (2, - 50)

f (x) = (1 + x y) (x + y)

f (x, y) = x + 4 y

\frac{6 x ^{2}}{x ^{2} - 16}

(\frac{x - 3}{x + 2})^{2}

f (x) = \frac{1}{2} x^{4} - 4 x^{2} + 2

What is the extreme x^5-5x^3-20x-2 ?
The extreme x^5-5x^3-20x-2 is Maximum(-2,46),Minimum(2,-50)