New posts in Infinitesimals

Is it possible to find the derivative of $y = 2^x$ using Calculus Made Easy-style infinitesimals?

Have I discovered a new significance to a previously discovered constant?

Can we make it equal to x?

Paradox about the volume of a cylinder

Which branch of mathematics rigorously defines infinitesimals?

If $dx$ is just syntax and not an infinitesimal then why do we apply operations to it?

How to calculate $\lim_{x\to0} \frac{\ln(1+x)+\ln(1-x)}{x^2}$?

How small is an infinitesimal quantity?

Why can't the second fundamental theorem of calculus be proved in just two lines?

If $F=m\dfrac{dv}{dt}$ why is it incorrect to write $F\,dt=m\,dv$?