Cube root radical

Cube root radical

Input
cuberoot(sqrt(x))
Result
(sqrt(x))^(1/3)
Alternate form assuming x is positive
x^(1/6)
Root
x = 0
Derivative
d/dx(cuberoot(sqrt(x))) = 1/(6 sqrt(x) (sqrt(x))^(1/3)^2)
Indefinite integral
integral cuberoot(sqrt(x)) dx = 6/7 x (sqrt(x))^(1/3) + constant
Global minimum
min{cuberoot(sqrt(x))} = 0 at x = 0

Leave a Reply

Your email address will not be published. Required fields are marked *