What is the extreme f(x)=-2x^3-27x^2-84x-3 ?

The extreme f(x)=-2x^3-27x^2-84x-3 is Minimum(-7,-52),Maximum(-2,73)

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extreme f(x)=-2x^3-27x^2-84x-3

extreme points

f (x) = - 2 x^{3} - 27 x^{2} - 84 x - 3

Minimum (- 7, - 52), Maximum (- 2, 73)

Solution steps

f^{'} (x) = - 6 x^{2} - 54 x - 84

Find intervals:

Decreasing

: - \infty < x < - 7,

Increasing

: - 7 < x < - 2,

Decreasing

: - 2 < x < \infty

Plug

x = - 7

into

- 2 x^{3} - 27 x^{2} - 84 x - 3 : - 52

Minimum (- 7, - 52)

Plug

x = - 2

into

- 2 x^{3} - 27 x^{2} - 84 x - 3 : 73

Maximum (- 2, 73)

Minimum (- 7, - 52), Maximum (- 2, 73)

f (x) = x^{2} - 6 x + 7

f (x) = 6 x + 2

f (x) = 10 - 4 x

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

5 x - 4 y = - 12

What is the extreme f(x)=-2x^3-27x^2-84x-3 ?
The extreme f(x)=-2x^3-27x^2-84x-3 is Minimum(-7,-52),Maximum(-2,73)