What is the extreme 6x^3-9x^2-216x+9 ?

The extreme 6x^3-9x^2-216x+9 is Maximum(-3,414),Minimum(4,-615)

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extreme 6x^3-9x^2-216x+9

extreme points

6 x^{3} - 9 x^{2} - 216 x + 9

Maximum (- 3, 414), Minimum (4, - 615)

Solution steps

f^{'} (x) = 18 x^{2} - 18 x - 216

Find intervals:

Increasing

: - \infty < x < - 3,

Decreasing

: - 3 < x < 4,

Increasing

: 4 < x < \infty

Plug

x = - 3

into

6 x^{3} - 9 x^{2} - 216 x + 9 : 414

Maximum (- 3, 414)

Plug

x = 4

into

6 x^{3} - 9 x^{2} - 216 x + 9 : - 615

Minimum (4, - 615)

Maximum (- 3, 414), Minimum (4, - 615)

f (x) = \frac{x ^{4}}{4} + \frac{5}{3} x^{3} - 5 x^{2} - 50 x + 1

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

f (x) = 2 x^{2} - 8 x + 2 (0.5)

f (x y) = 4 - x^{2} - 2 y^{2}

f (x, y) = x^{3} - 12 x + y^{2} + 6 y + 14

What is the extreme 6x^3-9x^2-216x+9 ?
The extreme 6x^3-9x^2-216x+9 is Maximum(-3,414),Minimum(4,-615)