What is the extreme g(x)=-4x^3-66x^2-360x+7 ?

The extreme g(x)=-4x^3-66x^2-360x+7 is Minimum(-6,655),Maximum(-5,657)

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extreme g(x)=-4x^3-66x^2-360x+7

extreme points

g (x) = - 4 x^{3} - 66 x^{2} - 360 x + 7

Minimum (- 6, 655), Maximum (- 5, 657)

Solution steps

f^{'} (x) = - 12 x^{2} - 132 x - 360

Find intervals:

Decreasing

: - \infty < x < - 6,

Increasing

: - 6 < x < - 5,

Decreasing

: - 5 < x < \infty

Plug

x = - 6

into

- 4 x^{3} - 66 x^{2} - 360 x + 7 : 655

Minimum (- 6, 655)

Plug

x = - 5

into

- 4 x^{3} - 66 x^{2} - 360 x + 7 : 657

Maximum (- 5, 657)

Minimum (- 6, 655), Maximum (- 5, 657)

f (x) = 4 sin (x) cos (x) + 12

x (57 - x^{2})

f (x) = 2 x^{3} + 6 x^{2} - 18 x + 7

f (x) = 2 x^{3} + 6 x^{2} - 18 x + 6

f (x) = 2 x^{3} + 6 x^{2} - 18 x + 1

What is the extreme g(x)=-4x^3-66x^2-360x+7 ?
The extreme g(x)=-4x^3-66x^2-360x+7 is Minimum(-6,655),Maximum(-5,657)