What is the extreme f(x)=x^3-9x^2+6 ?

The extreme f(x)=x^3-9x^2+6 is Maximum(0,6),Minimum(6,-102)

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extreme f(x)=x^3-9x^2+6

extreme

Maximum (0, 6), Minimum (6, - 102)

Solution steps

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

Find intervals:

Increasing

: - \infty < x < 0,

Decreasing

: 0 < x < 6,

Increasing

: 6 < x < \infty

Plug

x = 0

into

x^{3} - 9 x^{2} + 6 : 6

Maximum (0, 6)

Plug

x = 6

into

x^{3} - 9 x^{2} + 6 : - 102

Minimum (6, - 102)

Maximum (0, 6), Minimum (6, - 102)

What is the extreme f(x)=x^3-9x^2+6 ?
The extreme f(x)=x^3-9x^2+6 is Maximum(0,6),Minimum(6,-102)