use the first derivate test to locate the maxima and minima of y = x^(1/3)

Answer 1

since y' = 1/3 * 1/x^(2/3) is never zero, there is no max/min.

Think of the graph. Cube root just gets bigger and bigger, the farther away from zero.

Answer 2

THANKS STEVE, YOU'RE THE BEST!