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Popular >

extreme y=x^3-3x

Solution

extreme points

y = x^{3} - 3 x

Solution

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

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

Maximum (- 1, 2)

Plug

x = 1

into

x^{3} - 3 x : - 2

Minimum (1, - 2)

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

Popular Examples

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f (x) = e^{2 x} + e^{- x}

extreme w(x,y)=3x+7y extreme points

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extreme f(x)=-2x^3+6x^2-3 extreme points

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

extreme f(x,y)=x+2y extreme points

f (x, y) = x + 2 y

extreme f(x)=x^3-9x^2+15x-5 extreme points

f (x) = x^{3} - 9 x^{2} + 15 x - 5

Frequently Asked Questions (FAQ)

What is the extreme y=x^3-3x ?
The extreme y=x^3-3x is Maximum(-1,2),Minimum(1,-2)