2311.sagews

Animation: The n-th Root of x with Different Values of n (the Degree of the Root)

Lauri Ruotsalainen, 2010

# Animation: The n-th Root of x with Different Values of n (the Degree of the Root)
# Lauri Ruotsalainen, 2010

v = []
G = Graphics()
H = Graphics()

for n in range(2, 13):
    G += plot(x ^ (1 / n), [0, 3], hue=0.45 + 0.02 * n)
    H = text(
        "$y=\sqrt[%s]{x}$" % n, (0.7, 1.7),
        hue=0.47 + 0.02 * n, fontsize=20
    )
    v.append(G + H)

animation = animate(v, ymax=2)
show(animation, delay=40)