What is the extreme y=-2x^3+540x^2 ?

The extreme y=-2x^3+540x^2 is Minimum(0,0),Maximum(180,5832000)

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extreme y=-2x^3+540x^2

extreme

Minimum (0, 0), Maximum (180, 5832000)

Solution steps

f^{'} (x) = - 6 x^{2} + 1080 x

Find intervals:

Decreasing

: - \infty < x < 0,

Increasing

: 0 < x < 180,

Decreasing

: 180 < x < \infty

Plug

x = 0

into

- 2 x^{3} + 540 x^{2} : 0

Minimum (0, 0)

Plug

x = 180

into

- 2 x^{3} + 540 x^{2} : 5832000

Maximum (180, 5832000)

Minimum (0, 0), Maximum (180, 5832000)

What is the extreme y=-2x^3+540x^2 ?
The extreme y=-2x^3+540x^2 is Minimum(0,0),Maximum(180,5832000)