What is the extreme y=390x-0.25x^3 ?

The extreme y=390x-0.25x^3 is Minimum(-2sqrt(130),-5928.91221…),Maximum(2sqrt(130),5928.91221…)

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extreme y=390x-0.25x^3

extreme points

y = 390 x - 0.25 x^{3}

Minimum (- 2130, - 5928.91221 \dots), Maximum (2130, 5928.91221 \dots)

Solution steps

f^{'} (x) = 390 - 0.75 x^{2}

Find intervals:

Decreasing

: - \infty < x < - 2130,

Increasing

: - 2130 < x < 2130,

Decreasing

: 2130 < x < \infty

Plug

x = - 2130

into

390 x - 0.25 x^{3} : - 5928.91221 \dots

Minimum (- 2130, - 5928.91221 \dots)

Plug

x = 2130

into

390 x - 0.25 x^{3} : 5928.91221 \dots

Maximum (2130, 5928.91221 \dots)

Minimum (- 2130, - 5928.91221 \dots), Maximum (2130, 5928.91221 \dots)

What is the extreme y=390x-0.25x^3 ?
The extreme y=390x-0.25x^3 is Minimum(-2sqrt(130),-5928.91221…),Maximum(2sqrt(130),5928.91221…)