e_stuff.sagews

plot(2^x,x,-2,2)

sorted(colors)

['aliceblue', 'antiquewhite', 'aqua', 'aquamarine', 'automatic', 'azure', 'beige', 'bisque', 'black', 'blanchedalmond', 'blue', 'blueviolet', 'brown', 'burlywood', 'cadetblue', 'chartreuse', 'chocolate', 'coral', 'cornflowerblue', 'cornsilk', 'crimson', 'cyan', 'darkblue', 'darkcyan', 'darkgoldenrod', 'darkgray', 'darkgreen', 'darkgrey', 'darkkhaki', 'darkmagenta', 'darkolivegreen', 'darkorange', 'darkorchid', 'darkred', 'darksalmon', 'darkseagreen', 'darkslateblue', 'darkslategray', 'darkslategrey', 'darkturquoise', 'darkviolet', 'deeppink', 'deepskyblue', 'dimgray', 'dimgrey', 'dodgerblue', 'firebrick', 'floralwhite', 'forestgreen', 'fuchsia', 'gainsboro', 'ghostwhite', 'gold', 'goldenrod', 'gray', 'green', 'greenyellow', 'grey', 'honeydew', 'hotpink', 'indianred', 'indigo', 'ivory', 'khaki', 'lavender', 'lavenderblush', 'lawngreen', 'lemonchiffon', 'lightblue', 'lightcoral', 'lightcyan', 'lightgoldenrodyellow', 'lightgray', 'lightgreen', 'lightgrey', 'lightpink', 'lightsalmon', 'lightseagreen', 'lightskyblue', 'lightslategray', 'lightslategrey', 'lightsteelblue', 'lightyellow', 'lime', 'limegreen', 'linen', 'magenta', 'maroon', 'mediumaquamarine', 'mediumblue', 'mediumorchid', 'mediumpurple', 'mediumseagreen', 'mediumslateblue', 'mediumspringgreen', 'mediumturquoise', 'mediumvioletred', 'midnightblue', 'mintcream', 'mistyrose', 'moccasin', 'navajowhite', 'navy', 'oldlace', 'olive', 'olivedrab', 'orange', 'orangered', 'orchid', 'palegoldenrod', 'palegreen', 'paleturquoise', 'palevioletred', 'papayawhip', 'peachpuff', 'peru', 'pink', 'plum', 'powderblue', 'purple', 'red', 'rosybrown', 'royalblue', 'saddlebrown', 'salmon', 'sandybrown', 'seagreen', 'seashell', 'sienna', 'silver', 'skyblue', 'slateblue', 'slategray', 'slategrey', 'snow', 'springgreen', 'steelblue', 'tan', 'teal', 'thistle', 'tomato', 'turquoise', 'violet', 'wheat', 'white', 'whitesmoke', 'yellow', 'yellowgreen']

my_colors = ['aquamarine', 'burlywood', 'firebrick', 'lawngreen', 'coral']
print my_colors[2]

firebrick

container = Graphics()
for i in range(1,5):
    container += plot(i^x,x,-2,2,color=my_colors[i],thickness=3,legend_label=r"$%d^x$"%(i))
show(container)

def average_rate_of_change(func,start_x,end_x):
    change_in_y = func(end_x) - func(start_x)
    change_in_x = end_x - start_x
    
    return change_in_y / change_in_x

average_rate_of_change(x^2,0,4)

4

import numpy as np
my_list = list(np.arange(4,0,-0.01))

list_of_points = []

for i in my_list:
    value = average_rate_of_change(func=e^x,start_x=0,end_x=i)
    list_of_points.append((i,value))
    
scatter_plot(list_of_points,xmin=0,xmax=4,ymin=-0.5,ymax=4)

def test(f,a):
    return f(a)

test(cos(x), (7*pi)/6)

-1/2*sqrt(3)

list_of_angles = []

for i in range(1,10):
    list_of_angles.append(pi/i)
    
print(list_of_angles)

[pi, 1/2*pi, 1/3*pi, 1/4*pi, 1/5*pi, 1/6*pi, 1/7*pi, 1/8*pi, 1/9*pi]

y = x^2 + 2*x

$\displaystyle x^{2} + 2 \, x$