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Popular >

extreme f(x)=ln(5-4x^2)

Solution

extreme points

f (x) = ln (5 - 4 x^{2})

Solution

Maximum (0, ln (5))

Solution steps

f^{'} (x) = - \frac{8 x}{5 - 4 x ^{2}}

Find intervals:

Increasing

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

Decreasing

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

Plug

x = 0

into

ln (5 - 4 x^{2}) : ln (5)

Maximum (0, ln (5))

Popular Examples

asymptotes of f(x)=(x^2-x+6)/(4x-1)asymptotes

f (x) = \frac{x ^{2} - x + 6}{4 x - 1}

inverse of f(x)=50 inverse

f (x) = 50

symmetry x^3+x^2-9x-9 symmetry

x^{3} + x^{2} - 9 x - 9

domain of (2x^2)/(x^2-4)domain

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

asymptotes of f(x)=(x^2-7)/(x^2)asymptotes

f (x) = \frac{x ^{2} - 7}{x ^{2}}

Frequently Asked Questions (FAQ)

What is the extreme f(x)=ln(5-4x^2) ?
The extreme f(x)=ln(5-4x^2) is Maximum(0,ln(5))