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Popular >

extreme ln(7-6x^2)

Solution

extreme points

ln (7 - 6 x^{2})

Solution

Maximum (0, ln (7))

Solution steps

f^{'} (x) = - \frac{12 x}{7 - 6 x ^{2}}

Find intervals:

Increasing

: - \frac{7}{6} < x < 0,

Decreasing

: 0 < x < \frac{7}{6}

Plug

x = 0

into

ln (7 - 6 x^{2}) : ln (7)

Maximum (0, ln (7))

Popular Examples

asymptotes of ((x^2-3x-4))/(x+2)asymptotes

\frac{( x ^{2} - 3 x - 4 )}{x + 2}

domain of y=-sqrt(x^2-1)domain

y = - x^{2} - 1

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

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

domain of f(x)=2^x+2 domain

f (x) = 2^{x} + 2

extreme f(x)=x+sqrt(1-x)extreme points

f (x) = x + 1 - x

Frequently Asked Questions (FAQ)

What is the extreme ln(7-6x^2) ?
The extreme ln(7-6x^2) is Maximum(0,ln(7))