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Popular >

extreme f(x)=ln(27+8x^3)

Solution

extreme points

f (x) = ln (27 + 8 x^{3})

Solution

Saddle (0, 3 ln (3))

Solution steps

f^{'} (x) = \frac{24 x ^{2}}{27 + 8 x ^{3}}

Find intervals:

Increasing

: - \frac{3}{2} < x < 0,

Increasing

: 0 < x < \infty

Plug

x = 0

into

ln (27 + 8 x^{3}) : 3 ln (3)

Saddle (0, 3 ln (3))

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Frequently Asked Questions (FAQ)

What is the extreme f(x)=ln(27+8x^3) ?
The extreme f(x)=ln(27+8x^3) is Saddle(0,3ln(3))