What is the extreme f(x)=x^3+3x^2-189x ?

The extreme f(x)=x^3+3x^2-189x is Maximum(-9,1215),Minimum(7,-833)

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extreme f(x)=x^3+3x^2-189x

extreme points

f (x) = x^{3} + 3 x^{2} - 189 x

Maximum (- 9, 1215), Minimum (7, - 833)

Solution steps

f^{'} (x) = 3 x^{2} + 6 x - 189

Find intervals:

Increasing

: - \infty < x < - 9,

Decreasing

: - 9 < x < 7,

Increasing

: 7 < x < \infty

Plug

x = - 9

into

x^{3} + 3 x^{2} - 189 x : 1215

Maximum (- 9, 1215)

Plug

x = 7

into

x^{3} + 3 x^{2} - 189 x : - 833

Minimum (7, - 833)

Maximum (- 9, 1215), Minimum (7, - 833)

f (x) = 1 - ∣ x - 7 ∣

f (x, y) = (x^{2} - 49)^{2} + (y^{2} - 9)^{2}

f (x) = 12 x^{2} - x^{3}

x^{3} - 3 x + 1, - \frac{3}{2} \leq x \leq 3

F (X, Y) = X (X + Y) + X (X + Y)

What is the extreme f(x)=x^3+3x^2-189x ?
The extreme f(x)=x^3+3x^2-189x is Maximum(-9,1215),Minimum(7,-833)