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Popular >

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

Solution

extreme points

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

Solution

Maximum (0, ln (2))

Solution steps

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

Find intervals:

Increasing

: - 2 < x < 0,

Decreasing

: 0 < x < 2

Plug

x = 0

into

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

Maximum (0, ln (2))

Popular Examples

inverse of f(x)=4-8x inverse

f (x) = 4 - 8 x

range of (9-3x)/(x-4)range

\frac{9 - 3 x}{x - 4}

asymptotes of f(x)=-3tan(1/2 x)asymptotes

f (x) = - 3 tan (\frac{1}{2} x)

line (-2,-2),(1,-2)line

(- 2, - 2), (1, - 2)

domain of h(x)= 6/((x+5)(x-3))domain

h (x) = \frac{6}{( x + 5 ) ( x - 3 )}

Frequently Asked Questions (FAQ)

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