CoCalc -- Deriv.ipynb

Kernel: Python 3 (system-wide)

Cubic Polynomial Derivatives

The function $cubic\_deriv$ defines two sets of data points to plot:

$[x,y]$ represents the cubic function $f(x)=ax^3+bx^2+cx+d$

$[x,z]$ , represents the above cubic function's first derivative, $f'(x)=3ax^2+2bx+c$

In [27]:

import matplotlib.pyplot as plt
import numpy as np

def cube_deriv(a, b, c, d):
    x=np.linspace(-10, 10, 1000)
    y=a*x**3+b*x**2+c*x+d
    z=3*a*x**2+2*b*x+c

    plt.plot(x,y,color='blue', label='f (x)')
    plt.plot(x,z, color='red', label='f \' (x)')
    plt.xlabel('x')
    plt.ylabel('y')
    plt.title('Plot of f (x) and f \' (x)')
    plt.legend()
    plt.show()

In [28]:

cube_deriv(3,-2,0,5)

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