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Popular >

f(x)=(x^2-3x)ln(x^2-3x)

Solution

f (x) = (x^{2} - 3 x) ln (x^{2} - 3 x)

Solution

Domain : x < 0 or x > 3

X Intercepts : (\frac{3 + 13}{2}, 0), (\frac{3 - 13}{2}, 0)

Asymptotes : None

Extreme Points : Minimum (\frac{3 e - 9 e ^{2} + 4 e}{2 e}, - \frac{1}{e}), Minimum (\frac{3 e + 9 e ^{2} + 4 e}{2 e}, - \frac{1}{e})

+1

Interval Notation

Domain : (- \infty, 0) \cup (3, \infty)

Solution steps

Domain of

(x^{2} - 3 x) ln (x^{2} - 3 x) : x < 0 or x > 3

Axis interception points of

(x^{2} - 3 x) ln (x^{2} - 3 x) :

X Intercepts

: (\frac{3 + 13}{2}, 0), (\frac{3 - 13}{2}, 0)

Asymptotes of

(x^{2} - 3 x) ln (x^{2} - 3 x) :

None

Extreme Points of

(x^{2} - 3 x) ln (x^{2} - 3 x) :

Minimum

(\frac{3 e - 9 e ^{2} + 4 e}{2 e}, - \frac{1}{e}),

Minimum

(\frac{3 e + 9 e ^{2} + 4 e}{2 e}, - \frac{1}{e})

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Frequently Asked Questions (FAQ)

What is the f(x)=(x^2-3x)ln(x^2-3x) ?
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