What is the extreme g(x)=2x^3-3x^2-12x+13 ?

The extreme g(x)=2x^3-3x^2-12x+13 is Maximum(-1,20),Minimum(2,-7)

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extreme g(x)=2x^3-3x^2-12x+13

extreme points

g (x) = 2 x^{3} - 3 x^{2} - 12 x + 13

Maximum (- 1, 20), Minimum (2, - 7)

Solution steps

f^{'} (x) = 6 x^{2} - 6 x - 12

Find intervals:

Increasing

: - \infty < x < - 1,

Decreasing

: - 1 < x < 2,

Increasing

: 2 < x < \infty

Plug

x = - 1

into

2 x^{3} - 3 x^{2} - 12 x + 13 : 20

Maximum (- 1, 20)

Plug

x = 2

into

2 x^{3} - 3 x^{2} - 12 x + 13 : - 7

Minimum (2, - 7)

Maximum (- 1, 20), Minimum (2, - 7)

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

f (x) = - 2 x^{2} - 3 x + 5

\frac{1}{x} + x y - \frac{8}{y}

f (x, y) = y \cdot ln (x)

f (x) = x^{2} + x y + y^{2} - 37 y + 456

What is the extreme g(x)=2x^3-3x^2-12x+13 ?
The extreme g(x)=2x^3-3x^2-12x+13 is Maximum(-1,20),Minimum(2,-7)