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

The extreme f(x)=x^3+3x^2-9x-2 is Maximum(-3,25),Minimum(1,-7)

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

extreme

Maximum (- 3, 25), Minimum (1, - 7)

Solution steps

f^{'} (x) = 3 x^{2} + 6 x - 9

Find intervals:

Increasing

: - \infty < x < - 3,

Decreasing

: - 3 < x < 1,

Increasing

: 1 < x < \infty

Plug

x = - 3

into

x^{3} + 3 x^{2} - 9 x - 2 : 25

Maximum (- 3, 25)

Plug

x = 1

into

x^{3} + 3 x^{2} - 9 x - 2 : - 7

Minimum (1, - 7)

Maximum (- 3, 25), Minimum (1, - 7)

What is the extreme f(x)=x^3+3x^2-9x-2 ?
The extreme f(x)=x^3+3x^2-9x-2 is Maximum(-3,25),Minimum(1,-7)