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 at 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
Solution
It seems like you're trying to find the derivative of the function at the point using PyTorch, a Python library. Here's how you can do it:
- First, you need to define the variable
xas a tensor with the value of 1.0 and setrequires_grad=Trueto track computation with it:
import torch
x = torch.tensor(1.0, requires_grad=True)
- Then, define the function
y:
y = 2 * x ** 3 + x
- After defining the function, you can calculate the gradients by calling
.backward()ony:
y.backward()
- 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 at the point .
Note: y.grad will give you None because y is not a scalar. Gradients are only available for scalar outputs.
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