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Popular Functions >

extreme ln(x^2+4)

Solution

extreme

Solution

Minimum (0, 2 ln (2))

Solution steps

f^{'} (x) = \frac{2 x}{x ^{2} + 4}

Find intervals:

Decreasing

: - \infty < x < 0,

Increasing

: 0 < x < \infty

Plug

x = 0

into

ln (x^{2} + 4) : 2 ln (2)

Minimum (0, 2 ln (2))

Graph

Popular Examples

extreme f(x)=x^4-32x^2+10

extreme f(x)=x^3+y^3+3x^2-9y^2-1

extreme (x^2)/(x^2+243)

extreme f(x)=6sin^2(x)+6sin(x)

extreme f(x)=3^2-6x-9=0

Frequently Asked Questions (FAQ)

What is the extreme ln(x^2+4) ?
The extreme ln(x^2+4) is Minimum(0,2ln(2))