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Popular >

extreme f(x)=x^3-27

Solution

extreme points

f (x) = x^{3} - 27

Solution

Saddle (0, - 27)

Solution steps

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

Find intervals:

Increasing

: - \infty < x < 0,

Increasing

: 0 < x < \infty

Plug

x = 0

into

x^{3} - 27 : - 27

Saddle (0, - 27)

Popular Examples

extreme g(x)=x^2+2 extreme points

g (x) = x^{2} + 2

extreme f(x,y)=(x-1)4+y^4+64(x-1)y+14 extreme points

f (x, y) = (x - 1) 4 + y^{4} + 64 (x - 1) y + 14

extreme f(x)= 5/((x-5)^2)extreme points

f (x) = \frac{5}{( x - 5 ) ^{2}}

extreme y=(x^3)/3+4x^2+15x+7 extreme points

y = \frac{x ^{3}}{3} + 4 x^{2} + 15 x + 7

extreme x^2-3x-4 extreme points

x^{2} - 3 x - 4

Frequently Asked Questions (FAQ)

What is the extreme f(x)=x^3-27 ?
The extreme f(x)=x^3-27 is Saddle(0,-27)