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Popular >

extreme f(x)=ln(1+x^3)

Solution

extreme points

f (x) = ln (1 + x^{3})

Solution

Saddle (0, 0)

Solution steps

f^{'} (x) = \frac{3 x ^{2}}{1 + x ^{3}}

Find intervals:

Increasing

: - 1 < x < 0,

Increasing

: 0 < x < \infty

Plug

x = 0

into

ln (1 + x^{3}) : 0

Saddle (0, 0)

Popular Examples

range of y=sqrt(x+5)range

y = x + 5

inverse of f(x)=pi-x inverse

f (x) = π - x

asymptotes of f(x)=x^3+3x^2+3x+2 asymptotes

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

perpendicular y=0.3x+6,(3,-8)perpendicular

y = 0.3 x + 6, (3, - 8)

range of f(x)=arctan(x)range

f (x) = arctan (x)

Frequently Asked Questions (FAQ)

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