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Popular >

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

Solution

extreme points

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

Solution

Maximum (- 1, 4), Minimum (1, 0)

Solution steps

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

Find intervals:

Increasing

: - \infty < x < - 1,

Decreasing

: - 1 < x < 1,

Increasing

: 1 < x < \infty

Plug

x = - 1

into

x^{3} - 3 x + 2 : 4

Maximum (- 1, 4)

Plug

x = 1

into

x^{3} - 3 x + 2 : 0

Minimum (1, 0)

Maximum (- 1, 4), Minimum (1, 0)

Popular Examples

extreme f(x)=x^3-3x+11 extreme points

f (x) = x^{3} - 3 x + 11

extreme f(x,y)=sqrt(144-9x^2-16y^2)extreme points

f (x, y) = 144 - 9 x^{2} - 16 y^{2}

extreme f(x)=24x^3-3x^4 extreme points

f (x) = 24 x^{3} - 3 x^{4}

extreme 3x^2-12xy+y^3+3y^2 extreme points

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

extreme f(x,y)=4x^3-y^3+2x^2+3y^2 extreme points

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

Frequently Asked Questions (FAQ)

What is the extreme g(x)=x^3-3x+2 ?
The extreme g(x)=x^3-3x+2 is Maximum(-1,4),Minimum(1,0)