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Popular >

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))

Popular Examples

intercepts of f(4)=-2x^2+4x+8 intercepts

f (4) = - 2 x^{2} + 4 x + 8

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

f (x) = \frac{1}{3 x ^{2} + 8}

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

f (x) = \frac{5}{x ^{2} - 49}

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

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

slope of 4x-3y=9 slope

4 x - 3 y = 9

Frequently Asked Questions (FAQ)

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