Question

I need a Python code for this problem.

We can use python's array slicing in many ways, and here is just one example. To take the forward derivative of an array y, we use (y[i+1] - y[i])/dx For example, if dx=1 , we might write a derivative routine as yderiv = zeros (len(y)-1) for i in range(len(y)-1): yderiv[i] = y(i+1] - y[i] Note that here, yderiv is one element shorter than y -- this is because you need 2 points for a 2-point derivative, and the forward derivative cannot be computed at the last element of the array. Write a piece of code that does this using array slicing, using the following arrays: X = np.linspace(0,10,100) y = np.cos(x) Your code should contain no explicit loops (the word for should not appear in your code). Make a plot of yderiv (note that you'll need to somehow use slicing on x as well for the plot to work). Hint: if you get an error like ValueError: operands could not be broadcast together with shapes (99,) (98,) -- you are trying to add/subtract/plot two arrays of different sizes. If you're not sure what size your arrays are, try using the Spyder variable explorer.

Answer 1

`Hey,

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import matplotlib.pyplot as plt
import numpy as np
x=np.linspace(0,10,100);
y=np.cos(x);
dx=1;
yderiv=(y[1:]-y[:-1])/dx;
plt.plot(x[:-1],yderiv);
plt.show();

Kindly revert for any queries

Thanks.