Jupyter Snippet CB2nd 08_sage

15.8. Getting started with Sage

3 * 4

12

2 ^ 3

8

f = 1 - sin(x) ^ 2

f.simplify_trig()

cos(x)^2

f(x=pi)

1

f.diff(x)

-2*cos(x)*sin(x)

f.integrate(x)

1/2*x + 1/4*sin(2*x)

find_root(f - x, 0, 2)

0.6417143708729726

f.plot((x, -2 * pi, 2 * pi))

x, y = var('x,y')
plot3d(sin(x ^ 2 + y ^ 2) / (x ^ 2 + y ^ 2),
       (x, -5, 5), (y, -5, 5))