Compute and plot the derivative of the function f(x) = x³ • Apply the above methodology to compute and plot the derivative of the function f(x) = x³, for x = [-n, n], for n = 5 and 8 In [39]: import matplotlib.pyplot as plt n = 5 r = list (range(-n, n+1)) cubes = [] ## generate the squares using a for loop for value in r: s = value**3 cubes.append(s) slopes = [] first = b = ## generate plot points from existing lists plt.plot(r, cubes, label='function line') plt.plot(r, cubes, 'ro', label = 'function points') plt.plot(r, slopes, label = 'slope line') plt.plot(r, slopes, 'go', label = 'slope points') plt.plot(r, trueslope, label 'true slope') #generate axes Lables plt.ylabel('cubes value') plt.xlabel('integer input') plt.title('cubes plot') plt.legend() # display plot plt.show()

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
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Compute and plot the derivative of the function f(x) = x³
• Apply the above methodology to compute and plot the derivative of the function f(x) = x³, for x = [-n, n], for n = 5 and 8
In [39]: import matplotlib.pyplot as plt
n = 5
r = list (range(-n, n+1))
cubes = []
## generate the squares using a for Loop
for value in r:
s = value**3
cubes.append(s)
slopes = []
first =
b =
## generate plot points from existing lists
plt.plot(r, cubes, label = 'function line')
plt.plot(r, cubes, 'ro', label = 'function points')
plt.plot(r, slopes, label = 'slope line')
plt.plot(r, slopes, 'go', label = 'slope points')
plt.plot(r, trueslope, label = 'true slope')
# generate axes Lables
plt.ylabel('cubes value')
plt.xlabel('integer input')
plt.title('cubes plot')
plt.legend()
# display plot
plt.show()
Transcribed Image Text:Compute and plot the derivative of the function f(x) = x³ • Apply the above methodology to compute and plot the derivative of the function f(x) = x³, for x = [-n, n], for n = 5 and 8 In [39]: import matplotlib.pyplot as plt n = 5 r = list (range(-n, n+1)) cubes = [] ## generate the squares using a for Loop for value in r: s = value**3 cubes.append(s) slopes = [] first = b = ## generate plot points from existing lists plt.plot(r, cubes, label = 'function line') plt.plot(r, cubes, 'ro', label = 'function points') plt.plot(r, slopes, label = 'slope line') plt.plot(r, slopes, 'go', label = 'slope points') plt.plot(r, trueslope, label = 'true slope') # generate axes Lables plt.ylabel('cubes value') plt.xlabel('integer input') plt.title('cubes plot') plt.legend() # display plot plt.show()
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