%load_ext sage

a = 1/2 + 1/3
a

# view(a)       view  に相当するものは？

from IPython.display import display, Math
def my_show(obj): return display(Math(latex(obj)))
#y = 1 / (x^2+1)
my_show(a)

x = var('x')
# f = x^3 -x^2 - 2*x
f = x**3 -x**2 - 2*x
#view(f)
f

my_show(f)

factor(f)

from IPython.display import display, Image

plot(f, -2.5, 2.5, figsize=4).save("fig.png")

display(Image('fig.png'))

df = diff(f, x); df

my_show(df)

sol = solve(df, x); sol

my_show(sol)

plot(df, [x,-2.5,2.5], figsize=4).save('fig.png')

display(Image('fig.png'))

print find_root(df, -2, 0), find_root(df, 0, 2)


Change an input cell into a markdown cell and then you may use latex:
from IPython.display import display, Math
def my_show(obj): return display(Math(latex(obj)))
y = 1 / (x^2+1)
my_show(y)

#from IPython.display import Math
Math(r'F(k) = \int_{-\infty}^{\infty} f(x) e^{2\pi i k} dx')

%matplotlib inline
import matplotlib.pyplot as plt
import numpy as np
x = np.linspace(0, 3*np.pi, 500)
plt.plot(x, np.sin(x**2))
plt.title('A simple chirp');

sphere().save('fig3D.png')

#display(Image('fig3D.png'))

import os
os.system('convert -resize 350x fig3D.png fig3Ds.png')
display(Image('fig3Ds.png'))