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Popular >

extreme f(x)=x^3-1

Solution

extreme points

f (x) = x^{3} - 1

Solution

Saddle (0, - 1)

Solution steps

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

Find intervals:

Increasing

: - \infty < x < 0,

Increasing

: 0 < x < \infty

Plug

x = 0

into

x^{3} - 1 : - 1

Saddle (0, - 1)

Popular Examples

extreme f(x,y)=x^4-(18x)/(12y^2)-xy^3-x^2 extreme points

f (x, y) = x^{4} - \frac{18 x}{12 y ^{2}} - x y^{3} - x^{2}

extreme y=x^2-z^2 extreme points

y = x^{2} - z^{2}

extreme f(x,y)=x^2y^4+e^{3x}extreme points

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

extreme ln(x)+1/x extreme points

ln (x) + \frac{1}{x}

extreme f(x)=(x^2)/((x-4)^2)extreme points

f (x) = \frac{x ^{2}}{( x - 4 ) ^{2}}

Frequently Asked Questions (FAQ)

What is the extreme f(x)=x^3-1 ?
The extreme f(x)=x^3-1 is Saddle(0,-1)