Input
x^2/sqrt(x)
Result
x^(3/2)
Roots
(no roots exist)
Derivative
d/dx(x^2/sqrt(x)) = (3 sqrt(x))/2
Indefinite integral
integral x^(3/2) dx = (2 x^(5/2))/5 + constant
Global minimum
min{x^2/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