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Popular Functions >

extreme f(x)=ln(1+x^2)

Solution

extreme points

f (x) = ln (1 + x^{2})

Solution

Minimum (0, 0)

Solution steps

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

Find intervals:

Decreasing

: - \infty < x < 0,

Increasing

: 0 < x < \infty

Plug

x = 0

into

ln (1 + x^{2}) : 0

Minimum (0, 0)

Graph

Popular Examples

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extreme f(x)=x^3-3x^2-24x+2

Frequently Asked Questions (FAQ)

What is the extreme f(x)=ln(1+x^2) ?
The extreme f(x)=ln(1+x^2) is Minimum(0,0)