What is the extreme y=330x-0.25x^3 ?

The extreme y=330x-0.25x^3 is Minimum(-2sqrt(110),-4614.75893…),Maximum(2sqrt(110),4614.75893…)

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extreme y=330x-0.25x^3

extreme points

y = 330 x - 0.25 x^{3}

Minimum (- 2110, - 4614.75893 \dots), Maximum (2110, 4614.75893 \dots)

Solution steps

f^{'} (x) = 330 - 0.75 x^{2}

Find intervals:

Decreasing

: - \infty < x < - 2110,

Increasing

: - 2110 < x < 2110,

Decreasing

: 2110 < x < \infty

Plug

x = - 2110

into

330 x - 0.25 x^{3} : - 4614.75893 \dots

Minimum (- 2110, - 4614.75893 \dots)

Plug

x = 2110

into

330 x - 0.25 x^{3} : 4614.75893 \dots

Maximum (2110, 4614.75893 \dots)

Minimum (- 2110, - 4614.75893 \dots), Maximum (2110, 4614.75893 \dots)

What is the extreme y=330x-0.25x^3 ?
The extreme y=330x-0.25x^3 is Minimum(-2sqrt(110),-4614.75893…),Maximum(2sqrt(110),4614.75893…)