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Popular >

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

Solution

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

Solution

Domain : 0 < x < 1

Range : f (x) \leq - 2 ln (2)

Intercepts : None

Asymptotes : Vertical x = 0, x = 1

Extreme Points : Maximum (\frac{1}{2}, - 2 ln (2))

+1

Interval Notation

Domain : (0, 1)

Range : (- \infty, - 2 ln (2)]

Solution steps

Domain of

ln (x - x^{2}) : 0 < x < 1

Range of

ln (x - x^{2}) : f (x) \leq - 2 ln (2)

Axis interception points of

ln (x - x^{2}) :

None

Asymptotes of

ln (x - x^{2}) :

Vertical

: x = 0, x = 1

Extreme Points of

ln (x - x^{2}) :

Maximum

(\frac{1}{2}, - 2 ln (2))

Popular Examples

integral of 2x^2-3x

\int 2 x^{2} - 3 x d x

derivative of (2-x)/8 derivative of

\frac{2 - x}{8}

integral of x*e^{3x}

\int x \cdot e^{3 x} d x

(d^2y)/(dx^2)+9y=10cos(2x)

\frac{d ^{2} y}{d x ^{2}} + 9 y = 10 cos (2 x)

derivative of (x^3+8)/x derivative of

\frac{x ^{3} + 8}{x}

Frequently Asked Questions (FAQ)

What is the f(x)=ln(x-x^2) ?
The f(x)=ln(x-x^2) is