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Popular Functions >

extreme ln(x^2+144)

Solution

extreme

Solution

Minimum (0, 2 ln (12))

Solution steps

f^{'} (x) = \frac{2 x}{x ^{2} + 144}

Find intervals:

Decreasing

: - \infty < x < 0,

Increasing

: 0 < x < \infty

Plug

x = 0

into

ln (x^{2} + 144) : 2 ln (12)

Minimum (0, 2 ln (12))

Graph

Popular Examples

extreme f(x,y)=-5x^2-3y^2+48x-4y+2xy+300

extreme f(x,y)=sqrt(400-49x^2-100y^2)

extreme y=x^2+2x+2

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

extreme f(x,y)=3x^2-5y^2

Frequently Asked Questions (FAQ)

What is the extreme ln(x^2+144) ?
The extreme ln(x^2+144) is Minimum(0,2ln(12))