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Popular Functions >

extreme ln(2-5x^2)

Solution

extreme points

ln (2 - 5 x^{2})

Solution

Maximum (0, ln (2))

Solution steps

f^{'} (x) = - \frac{10 x}{2 - 5 x ^{2}}

Find intervals:

Increasing

: - \frac{2}{5} < x < 0,

Decreasing

: 0 < x < \frac{2}{5}

Plug

x = 0

into

ln (2 - 5 x^{2}) : ln (2)

Maximum (0, ln (2))

Graph

Popular Examples

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inflection f(x)= 1/(3x^2+8)

critical f(x)= 5/(x^2-49)

inflection f(x)=2x^3-3x^2+7x-4

slope of 4x-3y=9

Frequently Asked Questions (FAQ)

What is the extreme ln(2-5x^2) ?
The extreme ln(2-5x^2) is Maximum(0,ln(2))