((5^(-1/2))*(5x^(5/2)))/(5x)^(3/2)

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Solution for ((5^(-1/2))*(5x^(5/2)))/(5x)^(3/2) equation: 


D( x )

(5*x)^(3/2) = 0

x < 0

5*x < 0

(5*x)^(3/2) = 0

(5*x)^(3/2) = 0

5^(3/2)*x^(3/2) = 0 // : 5^(3/2)

x^(3/2) = 0

x = 0

x < 0

5*x < 0

5*x < 0

5*x+0 < 0 // - 0

5*x < 0 // : 5

x < 0/5

x < 0

x in (0:+oo)

(5*5^(-1/2)*x^(5/2))/((5*x)^(3/2)) = 0

1/5*x = 0 // : 1/5

x = 0

x in { 0} 

x belongs to the empty set

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