What is the extreme f(x)=x^3-x^2-x-5 ?

The extreme f(x)=x^3-x^2-x-5 is Maximum(-1/3 ,-130/27),Minimum(1,-6)

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extreme f(x)=x^3-x^2-x-5

extreme points

f (x) = x^{3} - x^{2} - x - 5

Maximum (- \frac{1}{3}, - \frac{130}{27}), Minimum (1, - 6)

Solution steps

f^{'} (x) = 3 x^{2} - 2 x - 1

Find intervals:

Increasing

: - \infty < x < - \frac{1}{3},

Decreasing

: - \frac{1}{3} < x < 1,

Increasing

: 1 < x < \infty

Plug

x = - \frac{1}{3}

into

x^{3} - x^{2} - x - 5 : - \frac{130}{27}

Maximum (- \frac{1}{3}, - \frac{130}{27})

Plug

x = 1

into

x^{3} - x^{2} - x - 5 : - 6

Minimum (1, - 6)

Maximum (- \frac{1}{3}, - \frac{130}{27}), Minimum (1, - 6)

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

f (x) = 12 - 3 x^{2}, (- 2, 5)

f (x) = x^{3} - x^{2} - x - 1

f (x) = 4 x y + 120 y - 20 y^{2} - \frac{1}{10} x^{2} y - 80

\frac{d}{d x} (x^{3} y^{2})

What is the extreme f(x)=x^3-x^2-x-5 ?
The extreme f(x)=x^3-x^2-x-5 is Maximum(-1/3 ,-130/27),Minimum(1,-6)