What’s the derivatives or solve differential for any equations such as y = x^2, Newton already figured all out systematically.

Chain rule is also covered by him

Next, if you know the derivative equation first, how to deduce the original function.

With above tool Newton solve difficult problem such as if the differentiation or fluxion in his term = 1/x:

Next, how to solve this form

Use exact same Newton’s infinitesimal series

We call this y or power series broken out e^x

Generalize to