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Popular >

extreme f(x)=1-x^3

Solution

extreme points

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

Solution

Saddle (0, 1)

Solution steps

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

Find intervals:

Decreasing

: - \infty < x < 0,

Decreasing

: 0 < x < \infty

Plug

x = 0

into

1 - x^{3} : 1

Saddle (0, 1)

Graph

Popular Examples

extreme sqrt(-14-x)extreme points

- 14 - x

extreme f(x,y)=3xy-x^3-y^3 extreme points

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

extreme f(x,y)=x^2+y^2-6x+8y+35 extreme points

f (x, y) = x^{2} + y^{2} - 6 x + 8 y + 35

extreme f(x)= 1/3 x^3-15x^2+78.2x+3630 extreme points

f (x) = \frac{1}{3} x^{3} - 15 x^{2} + 78.2 x + 3630

extreme x^3+3x^2-9x+7 extreme points

x^{3} + 3 x^{2} - 9 x + 7

Frequently Asked Questions (FAQ)

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