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Popular >

extreme 1/(4x^2)-1/(x^3)

Solution

extreme points

\frac{1}{4 x ^{2}} - \frac{1}{x ^{3}}

Solution

Maximum (6, \frac{1}{432})

Solution steps

f^{'} (x) = - \frac{1}{2 x ^{3}} + \frac{3}{x ^{4}}

Find intervals:

Increasing

: - \infty < x < 0,

Increasing

: 0 < x < 6,

Decreasing

: 6 < x < \infty

Plug

x = 6

into

\frac{1}{4 x ^{2}} - \frac{1}{x ^{3}} : \frac{1}{432}

Maximum (6, \frac{1}{432})

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extreme y=(5000)/(1+0.01e^{zx)}extreme points

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y = x^{2} - 12

Frequently Asked Questions (FAQ)

What is the extreme 1/(4x^2)-1/(x^3) ?
The extreme 1/(4x^2)-1/(x^3) is Maximum(6, 1/432)