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Popular >

critical f(x)=x^{3x}

Solution

critical points

f (x) = x^{3 x}

Solution

x = \frac{1}{e}

Solution steps

x^{3 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^{3 x} : x > 0

x^{3 x}

is not defined at

x = 0

, therefore:

x = \frac{1}{e}

Popular Examples

critical f(x)=xsqrt(x+4)critical points

f (x) = x x + 4

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

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

critical x/(3x-2)critical points

\frac{x}{3 x - 2}

critical f(x,y)=x^2+xy+y^2-6x+6 critical points

f (x, y) = x^{2} + x y + y^{2} - 6 x + 6

critical x^4-3x^3 critical points

x^{4} - 3 x^{3}

Frequently Asked Questions (FAQ)

What is the critical f(x)=x^{3x} ?
The critical f(x)=x^{3x} is x= 1/e