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Popular >

extreme x^3-3x-1

Solution

extreme points

x^{3} - 3 x - 1

Solution

Maximum (- 1, 1), Minimum (1, - 3)

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 - 1 : 1

Maximum (- 1, 1)

Plug

x = 1

into

x^{3} - 3 x - 1 : - 3

Minimum (1, - 3)

Maximum (- 1, 1), Minimum (1, - 3)

Popular Examples

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extreme f(x)=7x+9,-6<= x<= 3 extreme points

f (x) = 7 x + 9, - 6 \leq x \leq 3

extreme (2x)/((3x-6))extreme points

\frac{2 x}{( 3 x - 6 )}

extreme f(x)=-x^3+x^2+4x-1 extreme points

f (x) = - x^{3} + x^{2} + 4 x - 1

extreme f(x)=2(3x)^x,0.1<= x<= 1 extreme points

f (x) = 2 (3 x)^{x}, 0.1 \leq x \leq 1

Frequently Asked Questions (FAQ)

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