What is the critical f(x)=x^{5/3}-5x^{2/3} ?

The critical f(x)=x^{5/3}-5x^{2/3} is x=0,x=2

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critical f(x)=x^{5/3}-5x^{2/3}

critical points

f (x) = x^{\frac{5}{3}} - 5 x^{\frac{2}{3}}

x = 0, x = 2

Solution steps

x^{\frac{5}{3}} - 5 x^{\frac{2}{3}}

Find where

f^{'} (x)

is equal to zero or undefined

x = 2, x = 0

Identify critical points not in

f (x)

domain

Domain of

x^{\frac{5}{3}} - 5 x^{\frac{2}{3}} : - \infty < x < \infty

All critical points are in domain

x = 0, x = 2

f (x) = \frac{4 e ^{x}}{e ^{x}}

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

f (x) = \frac{6}{x + 4} \cdot \frac{1}{2 - x}

f (x) = sin (x) + cos (x)

y = 3 cos (x)

What is the critical f(x)=x^{5/3}-5x^{2/3} ?
The critical f(x)=x^{5/3}-5x^{2/3} is x=0,x=2