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Popular >

y=x(ln(x))

Solution

y = x (ln (x))

Solution

Domain : x > 0

Range : f (x) \geq - \frac{1}{e}

X Intercepts : (1, 0)

Asymptotes : None

Extreme Points : Minimum (\frac{1}{e}, - \frac{1}{e})

+1

Interval Notation

Domain : (0, \infty)

Range : [- \frac{1}{e}, \infty)

Solution steps

Domain of

x ln (x) : x > 0

Range of

x ln (x) : f (x) \geq - \frac{1}{e}

Axis interception points of

x ln (x) :

X Intercepts

: (1, 0)

Asymptotes of

x ln (x) :

None

Extreme Points of

x ln (x) :

Minimum

(\frac{1}{e}, - \frac{1}{e})

Popular Examples

k(x)=3x^2+24x+36

k (x) = 3 x^{2} + 24 x + 36

f(b)=log_{b}(18)

f (b) = lo g_{b} (18)

f(x)=-log_{5}(x+2)

f (x) = - lo g_{5} (x + 2)

f(x)=(1+sin(x)+cos(x))/(1-sin(x)+cos(x))

f (x) = \frac{1 + sin ( x ) + cos ( x )}{1 - sin ( x ) + cos ( x )}

f(x)=3+log_{3}(x)

f (x) = 3 + lo g_{3} (x)

Frequently Asked Questions (FAQ)

What is the y=x(ln(x)) ?
The y=x(ln(x)) is