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What is Chain Rule?
The chain rules nothing but a differntiation of a function with another function.
For example:
Taking displacement, velocity, acceleration as an example
s(t)→v(t)→a(t)
Where:
- displacement depends on time
- velocity depends on displacement changing over time
- acceleration depends on velocity changing over time ### Displacement
Velocity
Acceleration
Each graph is the derivative of the previous one.
Why chain rule is used?
The chain rule is used in Machine Learning during Backpropagation, which is the process of training the network by adjusting its weights and biases to minimize errors.
If you have two functions, f(x) and g(x), and you want to find the derivative of their composition f(g(x)), the chain rule states:
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