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Popular >

y=(xln(x))/(ln(x)-2)

Solution

y = \frac{x ln ( x )}{ln ( x ) - 2}

Solution

Domain : 0 < x < e^{2} or x > e^{2}

Range : f (x) \leq e^{1 - 3} (2 - 3) or f (x) \geq e^{1 + 3} (2 + 3)

X Intercepts : (1, 0)

Asymptotes : Vertical x = e^{2}

Extreme Points : Maximum (e^{1 - 3}, e^{1 - 3} (2 - 3)), Minimum (e^{1 + 3}, e^{1 + 3} (2 + 3))

+1

Interval Notation

Domain : (0, e^{2}) \cup (e^{2}, \infty)

Range : (- \infty, e^{1 - 3} (2 - 3)] \cup [e^{1 + 3} (2 + 3), \infty)

Solution steps

Domain of

\frac{x ln ( x )}{ln ( x ) - 2} : 0 < x < e^{2} or x > e^{2}

Range of

\frac{x ln ( x )}{ln ( x ) - 2} : f (x) \leq e^{1 - 3} (2 - 3) or f (x) \geq e^{1 + 3} (2 + 3)

Axis interception points of

\frac{x ln ( x )}{ln ( x ) - 2} :

X Intercepts

: (1, 0)

Asymptotes of

\frac{x ln ( x )}{ln ( x ) - 2} :

Vertical

: x = e^{2}

Extreme Points of

\frac{x ln ( x )}{ln ( x ) - 2} :

Maximum

(e^{1 - 3}, e^{1 - 3} (2 - 3)),

Minimum

(e^{1 + 3}, e^{1 + 3} (2 + 3))

Popular Examples

f(x)=sqrt(x+34/4)

f (x) = x + \frac{34}{4}

f(x)=(x^2+4x+4)/(x^2+3x+2)

f (x) = \frac{x ^{2} + 4 x + 4}{x ^{2} + 3 x + 2}

f(x)=x^3+2x-8+4x^2

f (x) = x^{3} + 2 x - 8 + 4 x^{2}

f(x)=(x^4-5x+7)/(x^2+1)

f (x) = \frac{x ^{4} - 5 x + 7}{x ^{2} + 1}

f(x)=4sin^2(x)cos^2(x)

f (x) = 4 sin^{2} (x) cos^{2} (x)

Frequently Asked Questions (FAQ)

What is the y=(xln(x))/(ln(x)-2) ?
The y=(xln(x))/(ln(x)-2) is