Input
x sqrt(x)
Result
x^(3/2)
Root
x = 0
Derivative
d/dx(x sqrt(x)) = (3 sqrt(x))/2
Indefinite integral
integral x^(3/2) dx = (2 x^(5/2))/5 + constant
Global minimum
min{x sqrt(x)} = 0 at x = 0
Series representation
x^(3/2) = sum_(n=0)^infinity binomial(3/2, n) (-1 + x)^n for abs(1 – x)<1