What is the extreme f(x)=-x^3-9x^2+165x+1300 ?

The extreme f(x)=-x^3-9x^2+165x+1300 is Minimum(-11,-273),Maximum(5,1775)

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extreme f(x)=-x^3-9x^2+165x+1300

extreme

Minimum (- 11, - 273), Maximum (5, 1775)

Solution steps

f^{'} (x) = - 3 x^{2} - 18 x + 165

Find intervals:

Decreasing

: - \infty < x < - 11,

Increasing

: - 11 < x < 5,

Decreasing

: 5 < x < \infty

Plug

x = - 11

into

- x^{3} - 9 x^{2} + 165 x + 1300 : - 273

Minimum (- 11, - 273)

Plug

x = 5

into

- x^{3} - 9 x^{2} + 165 x + 1300 : 1775

Maximum (5, 1775)

Minimum (- 11, - 273), Maximum (5, 1775)

What is the extreme f(x)=-x^3-9x^2+165x+1300 ?
The extreme f(x)=-x^3-9x^2+165x+1300 is Minimum(-11,-273),Maximum(5,1775)