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Popular >

extreme f(x)=x^3-3

Solution

extreme points

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

Solution

Saddle (0, - 3)

Solution steps

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

Find intervals:

Increasing

: - \infty < x < 0,

Increasing

: 0 < x < \infty

Plug

x = 0

into

x^{3} - 3 : - 3

Saddle (0, - 3)

Popular Examples

extreme f(x,y)=3x^3+y^2-9x+4y extreme points

f (x, y) = 3 x^{3} + y^{2} - 9 x + 4 y

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f (x, y) = 6 - \frac{x ^{2}}{3} - \frac{y ^{2}}{2}

extreme f(x)=x^8ln(x)extreme points

f (x) = x^{8} ln (x)

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

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

Frequently Asked Questions (FAQ)

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