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Popular >

extreme f(x)=ln(7-6x^2)

Solution

extreme points

f (x) = 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

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f (x) = 2 sin (x - \frac{π}{4})

line (2,5),(5,8)line

(2, 5), (5, 8)

intercepts of x/(x+4)intercepts

\frac{x}{x + 4}

shift f(x)=-2sin(x)-1 shift

f (x) = - 2 sin (x) - 1

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

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

Frequently Asked Questions (FAQ)

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