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Popular >

extreme f(x)=3-x^3

Solution

extreme points

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

Solution

Saddle (0, 3)

Solution steps

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

Find intervals:

Decreasing

: - \infty < x < 0,

Decreasing

: 0 < x < \infty

Plug

x = 0

into

3 - x^{3} : 3

Saddle (0, 3)

Popular Examples

extreme f(x)=[0.1]extreme points

f (x) = [0.1]

extreme-x^3+3x^2-1 extreme points

- x^{3} + 3 x^{2} - 1

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

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

extreme f(x)=(2x)/(x^2-16)extreme points

f (x) = \frac{2 x}{x ^{2} - 16}

extreme f(x)=x^{2/3}(x-1)extreme points

f (x) = x^{\frac{2}{3}} (x - 1)

Frequently Asked Questions (FAQ)

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