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Popular Calculus >

y=x^x+1

Solution

y = x^{x} + 1

Solution

Domain : x > 0

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

Intercepts : None

Asymptotes : None

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

+1

Interval Notation

Domain : (0, \infty)

Range : [(\frac{1}{e})^{\frac{1}{e}} + 1, \infty)

Solution steps

Domain of

x^{x} + 1 : x > 0

Range of

x^{x} + 1 : f (x) \geq (\frac{1}{e})^{\frac{1}{e}} + 1

Axis interception points of

x^{x} + 1 :

None

Asymptotes of

x^{x} + 1 :

None

Extreme Points of

x^{x} + 1 :

Minimum

(\frac{1}{e}, (\frac{1}{e})^{\frac{1}{e}} + 1)

Graph

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Frequently Asked Questions (FAQ)

What is the y=x^x+1 ?
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