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Popular >

extreme x^3-3x

Solution

extreme points

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

domain of f(x)=x^2-9,x<= 0 domain

f (x) = x^{2} - 9, x \leq 0

domain of f(x)=(y+9)/(y^2-9y)domain

f (x) = \frac{y + 9}{y ^{2} - 9 y}

shift f(x)=-6cos(2pix)+3 shift

f (x) = - 6 cos (2 π x) + 3

inverse of arctan(x)inverse

arctan (x)

intercepts of ((x-4)(x-3))/(x+3)intercepts

\frac{( x - 4 ) ( x - 3 )}{x + 3}

Frequently Asked Questions (FAQ)

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