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Popular >

extreme y= 1/3 x^3+4

Solution

extreme points

y = \frac{1}{3} x^{3} + 4

Solution

Saddle (0, 4)

Solution steps

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

Find intervals:

Increasing

: - \infty < x < 0,

Increasing

: 0 < x < \infty

Plug

x = 0

into

\frac{1}{3} x^{3} + 4 : 4

Saddle (0, 4)

Popular Examples

extreme f(x,y)=sqrt(1/(x+y))extreme points

f (x, y) = \frac{1}{x + y}

extreme f(x)=-x^3-3x^2-3 extreme points

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

extreme f(x)=-4x+5 extreme points

f (x) = - 4 x + 5

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

f (x, y) = y - x + 2

extreme f(x,y)=-8y^2-7x^3+15x^2 extreme points

f (x, y) = - 8 y^{2} - 7 x^{3} + 15 x^{2}

Frequently Asked Questions (FAQ)

What is the extreme y= 1/3 x^3+4 ?
The extreme y= 1/3 x^3+4 is Saddle(0,4)