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Popular Functions >

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)

Graph

Popular Examples

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

extreme f(x)=-4x+5

extreme f(x,y)=x^2+4y^2-2x+8y-1

extreme f(x)=x^3+15x^2

extreme f(x,y)=x^2+y^2+ln(xy-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)