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Notebook imports and packages

import matplotlib.pyplot as plt
import numpy as np
from matplotlib import cm
from sympy import symbols, diff
from math import log
from sklearn.linear_model import LinearRegression
from sklearn.metrics import mean_squared_error

!pip install jovian --upgrade --quiet
import jovian

jovian.commit(project= '03 Gradient Descent')

%matplotlib inline

Example 1 - A simple cost function

f(x)=x2+x+1f(x) = x^2+x + 1

# Cost fucntion 

def f(x):
    return x**2 + x + 1
# Make data 

x_1 = np.linspace(-3,3,500)