# Changing the weights values in backprop, by how much?

To perform backpropagation and make the network learn, you simply compare ŷ to the ground-truth value of y and adjust the weights and biases of the network until error is minimized, much as you would with a classifier. Root-means-squared-error (RMSE) could be the loss function.

My question is how much do i adjust the weights and biases by?
And in what order?

Now I know the second part of my question obvious answer is 'backwards' but what i mean is
if im changing the weights from back to front. how can i know that if i change a weight near the input so it wont drastically mess up the Y? So I would have to go back to the weight near the output and change that so the weight near the input dosent make such a drastic change.

Dose this make sense? if not I will clarify.

At the heart of backpropagation is an expression for the partial derivative $\partial C / \partial w$ of the cost function $C$ with respect to any weight $w$ (or bias $b$) in the network. The expression tells us how quickly the cost changes when we change the weights and biases. And while the expression is somewhat complex, it also has a beauty to it, with each element having a natural, intuitive interpretation.