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How would you determine the derivative of $ y = 2x^3+x $ at $x=1$1 point1234x = torch.tensor(1.0, requires_grad=True)y = 2 * x ** 3 + xy.backward() x.grad1234x = torch.tensor(1.0, requires_grad=True)y = 2 * x ** 3 + xy.backward() y.grad

Question

How would you determine the derivative of y=2x3+x y = 2x^3+x at x=1x=11 point1234x = torch.tensor(1.0, requires_grad=True)y = 2 * x ** 3 + xy.backward() x.grad1234x = torch.tensor(1.0, requires_grad=True)y = 2 * x ** 3 + xy.backward() y.grad

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Solution

It seems like you're trying to find the derivative of the function y=2x3+x y = 2x^3+x at the point x=1x=1 using PyTorch, a Python library. Here's how you can do it:

  1. First, you need to define the variable x as a tensor with the value of 1.0 and set requires_grad=True to track computation with it:
import torch

x = torch.tensor(1.0, requires_grad=True)
  1. Then, define the function y:
y = 2 * x ** 3 + x
  1. After defining the function, you can calculate the gradients by calling .backward() on y:
y.backward()
  1. Finally, you can print the derivative at the point x=1 by printing x.grad:
print(x.grad)

This will give you the derivative of the function y=2x3+x y = 2x^3+x at the point x=1x=1.

Note: y.grad will give you None because y is not a scalar. Gradients are only available for scalar outputs.

This problem has been solved

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