What is the critical x^{3/2}-3x^{5/2} ?

The critical x^{3/2}-3x^{5/2} is x=0,x= 1/5

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critical x^{3/2}-3x^{5/2}

critical points

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

x = 0, x = \frac{1}{5}

Solution steps

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

Find where

f^{'} (x)

is equal to zero or undefined

x = 0, x = \frac{1}{5}

Identify critical points not in

f (x)

domain

Domain of

x^{\frac{3}{2}} - 3 x^{\frac{5}{2}} : x \geq 0

All critical points are in domain

x = 0, x = \frac{1}{5}

2 x^{2} + 32 x + 136

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

f (x) = \frac{x}{7 - x}

f (x) = \frac{5 + 7 x}{2}

What is the critical x^{3/2}-3x^{5/2} ?
The critical x^{3/2}-3x^{5/2} is x=0,x= 1/5