Nov 9, 2015 · I am able to complete the action, however, I am not sure what it really means in calculus to differentiate. I'm just curious as to why I have to to do this.

Also, notice an interesting reversal: originally, differentials came first, and they were used to define the derivative as a ratio. Today, derivatives come first (defined as limits), and …

Jun 25, 2018 · One context is which this concept is used is to define differentiable functions on objects like polygons or polyhedra (which leads to the general and very useful topic of …

Jan 26, 2013 · 7 As far as I know, the reals were not rigorously constructed during his time (i.e via equivalence classes of Cauchy sequences, or Dedekind cuts), so how did Newton even define …

May 26, 2020 · Since all norms on Rn R n are equivalent, the following question makes sense: Can we define the notion of "differentiability" of a map Rn → R R n → R without refering to a …

Jul 4, 2023 · Differentiation on an arbitrary set Ask Question Asked 2 years, 6 months ago Modified 1 year, 5 months ago

Jun 28, 2018 · 0 Still another way to define the derivative without limits, in more constructive and finitist terms, is to re-cast the $ (\epsilon, \delta)$ definition in a purely algebraic form, …

Oct 23, 2018 · Defining multivariable differentiation is just linear algebra. However, defining integration is complicated measure theory. Why are these efforts so different?

Aug 31, 2015 · Question: Determine whether the given relation is an implicit solution to the give differential equation. Assume that the relationship does define y implicitly as a function of x …

Jul 10, 2014 · The correct verb is to differentiate. The corresponding noun is differentiation. The mathematical meaning of 'to differentiate' ca be found through google (it's no. 3)