Thursday, 20 August 2015

calculus - What's the meaning of a differential (as opposed to a derivative)?

Say y=f(x). To my understanding, the meaning of the derivative dydx=f(x) in English would be something like "the change in y with respect to the change in x at a given point is f(x)."



After a symbolic manipulation of the derivative where we "multiply" both sides by dx, we get the differential dy=f(x)dx. My question is, what does the differential actually mean (verbally), and how is it different from the derivative?

No comments:

Post a Comment

real analysis - How to find limhrightarrow0fracsin(ha)h

How to find lim without lhopital rule? I know when I use lhopital I easy get $$ \lim_{h\rightarrow 0}...