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Popular >

extreme f(x)=ln(x^4+27)

Solution

extreme points

f (x) = ln (x^{4} + 27)

Solution

Minimum (0, 3 ln (3))

Solution steps

f^{'} (x) = \frac{4 x ^{3}}{x ^{4} + 27}

Find intervals:

Decreasing

: - \infty < x < 0,

Increasing

: 0 < x < \infty

Plug

x = 0

into

ln (x^{4} + 27) : 3 ln (3)

Minimum (0, 3 ln (3))

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Frequently Asked Questions (FAQ)

What is the extreme f(x)=ln(x^4+27) ?
The extreme f(x)=ln(x^4+27) is Minimum(0,3ln(3))