What is the extreme f(x)=-2x^3+30x^2-54x+8 ?

The extreme f(x)=-2x^3+30x^2-54x+8 is Minimum(1,-18),Maximum(9,494)

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extreme f(x)=-2x^3+30x^2-54x+8

extreme

Minimum (1, - 18), Maximum (9, 494)

Solution steps

f^{'} (x) = - 6 x^{2} + 60 x - 54

Find intervals:

Decreasing

: - \infty < x < 1,

Increasing

: 1 < x < 9,

Decreasing

: 9 < x < \infty

Plug

x = 1

into

- 2 x^{3} + 30 x^{2} - 54 x + 8 : - 18

Minimum (1, - 18)

Plug

x = 9

into

- 2 x^{3} + 30 x^{2} - 54 x + 8 : 494

Maximum (9, 494)

Minimum (1, - 18), Maximum (9, 494)

What is the extreme f(x)=-2x^3+30x^2-54x+8 ?
The extreme f(x)=-2x^3+30x^2-54x+8 is Minimum(1,-18),Maximum(9,494)