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Popular >

extreme-3x^3

Solution

extreme points

- 3 x^{3}

Solution

Saddle (0, 0)

Solution steps

f^{'} (x) = - 9 x^{2}

Find intervals:

Decreasing

: - \infty < x < 0,

Decreasing

: 0 < x < \infty

Plug

x = 0

into

- 3 x^{3} : 0

Saddle (0, 0)

Graph

Popular Examples

extreme y=x^5-5x^4 extreme points

y = x^{5} - 5 x^{4}

extreme f(x)=x^3+3x^2,-5/2 <= x<= 1 extreme points

f (x) = x^{3} + 3 x^{2}, - \frac{5}{2} \leq x \leq 1

extreme 1/((x+1)(x+2)(x+3))extreme points

\frac{1}{( x + 1 ) ( x + 2 ) ( x + 3 )}

extreme f(x)=3x^2+10x-5 extreme points

f (x) = 3 x^{2} + 10 x - 5

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

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

Frequently Asked Questions (FAQ)

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