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Popular >

critical x^x

Solution

critical points

x^{x}

Solution

x = \frac{1}{e}

Solution steps

x^{x}

Find where

f^{'} (x)

is equal to zero or undefined

x = \frac{1}{e}, x = 0

Identify critical points not in

f (x)

domain

Domain of

x^{x} : x > 0

x^{x}

is not defined at

x = 0

, therefore:

x = \frac{1}{e}

Popular Examples

critical f(x,y)=4xy+x^4+y^4 critical points

f (x, y) = 4 x y + x^{4} + y^{4}

critical f(x,y)=xy+y critical points

f (x, y) = x y + y

critical x^4+4x^3-2 critical points

x^{4} + 4 x^{3} - 2

critical f(x)=2x^3-9x^2+12x+1 critical points

f (x) = 2 x^{3} - 9 x^{2} + 12 x + 1

critical f(x)=x^3-12x^2+36x critical points

f (x) = x^{3} - 12 x^{2} + 36 x

Frequently Asked Questions (FAQ)

What is the critical x^x ?
The critical x^x is x= 1/e