What is the critical f(x)=(2x)/(3(x^2-1)^{2/3)} ?

The critical f(x)=(2x)/(3(x^2-1)^{2/3)} is None

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critical f(x)=(2x)/(3(x^2-1)^{2/3)}

critical points

f (x) = \frac{2 x}{3 ( x ^{2} - 1 ) ^{\frac{2}{3}}}

None

Solution steps

\frac{2 x}{3 ( x ^{2} - 1 ) ^{\frac{2}{3}}}

Find where

f^{'} (x)

is equal to zero or undefined

x = - 1, x = 1

Identify critical points not in

f (x)

domain

Domain of

\frac{2 x}{3 ( x ^{2} - 1 ) ^{\frac{2}{3}}} : x < - 1 or - 1 < x < 1 or x > 1

\frac{2 x}{3 ( x ^{2} - 1 ) ^{\frac{2}{3}}}

is not defined at

x = - 1, x = 1

, therefore:

None

\frac{x ^{3}}{3} + \frac{x ^{2}}{2} - 2 x + 9

f (x) = (x - 2)^{3} (x + 4)^{2}

f (x) = 6 sec (x) + 3 tan (x)

f (x, y) = x + 8 y + \frac{1}{x y}

f (x, y) = - x^{2} + y^{2} + 2 x + 4 y + 7

What is the critical f(x)=(2x)/(3(x^2-1)^{2/3)} ?
The critical f(x)=(2x)/(3(x^2-1)^{2/3)} is None