Code Explanation:
1. Import TensorFlow
import tensorflow as tf
This imports the TensorFlow library, which is widely used for machine learning and deep learning tasks. Here, we will use it to calculate the gradient of a function with respect to a variable.
2. Create a TensorFlow Variable
x = tf.Variable(4.0)
tf.Variable(4.0) creates a TensorFlow variable with an initial value of 4.0. Variables in TensorFlow are used to store and update the model's parameters during training.
The value 4.0 is stored in the variable x, and TensorFlow will track its value and compute gradients with respect to it.
3. Gradient Tape Context
with tf.GradientTape() as tape:
y = x**3 + 2*x + 1
tf.GradientTape() is used to record operations for automatic differentiation (i.e., computing gradients).
Inside the with block, the expression y = x**3 + 2*x + 1 computes the function y in terms of x. TensorFlow will track the operations performed on x so it can later compute the gradient with respect to x.
The expression y = x**3 + 2*x + 1 is a polynomial function of x.
4. Calculate the Gradient
grad = tape.gradient(y, x)
tape.gradient(y, x) computes the gradient of y with respect to x. This means that TensorFlow will take the derivative of the function y = x^3 + 2x + 1 with respect to x and return the result.
5. Print the Gradient
print(grad)
This will print the computed gradient of the function. In this case, it will output 50.0, which is the result of the derivative evaluated at x = 4.0.
Final Output:
50
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