What is the extreme x^3+12x^2-27x+2 ?

The extreme x^3+12x^2-27x+2 is Maximum(-9,488),Minimum(1,-12)

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extreme x^3+12x^2-27x+2

extreme points

x^{3} + 12 x^{2} - 27 x + 2

Maximum (- 9, 488), Minimum (1, - 12)

Solution steps

f^{'} (x) = 3 x^{2} + 24 x - 27

Find intervals:

Increasing

: - \infty < x < - 9,

Decreasing

: - 9 < x < 1,

Increasing

: 1 < x < \infty

Plug

x = - 9

into

x^{3} + 12 x^{2} - 27 x + 2 : 488

Maximum (- 9, 488)

Plug

x = 1

into

x^{3} + 12 x^{2} - 27 x + 2 : - 12

Minimum (1, - 12)

Maximum (- 9, 488), Minimum (1, - 12)

f (x) = x^{3} - 9 x^{2} + 15 x - 4

P (x, y) = 3 x^{2} y + 4 x y^{2} - y^{- 4}

f (x) = (x + 10) (\frac{60}{x} + 6)

f (x) = \frac{1}{2} x^{4} - 4 x^{2} + 5

f (x) = \frac{1}{2} x^{4} - 4 x^{2} + 3

What is the extreme x^3+12x^2-27x+2 ?
The extreme x^3+12x^2-27x+2 is Maximum(-9,488),Minimum(1,-12)