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Popular >

critical f(x)=x^{5x}

Solution

critical points

f (x) = x^{5 x}

Solution

x = \frac{1}{e}

Solution steps

x^{5 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^{5 x} : x > 0

x^{5 x}

is not defined at

x = 0

, therefore:

x = \frac{1}{e}

Popular Examples

critical f(x)=2x^3+x^2-20x+5 critical points

f (x) = 2 x^{3} + x^{2} - 20 x + 5

critical (12-6x)e^x critical points

(12 - 6 x) e^{x}

critical f(x)=x^2-4x+4 critical points

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

critical 3x^2-6x-9 critical points

3 x^{2} - 6 x - 9

critical 12xy-x^2-3y^2 critical points

12 x y - x^{2} - 3 y^{2}

Frequently Asked Questions (FAQ)

What is the critical f(x)=x^{5x} ?
The critical f(x)=x^{5x} is x= 1/e