Solving for Delta Squared: Rules & Examples

[Zerius]

How does one deal with a delta squared ? For example, volume is a function of del Diameter and del Length.

If i let v = d^2(pi)L/4, and then call the d and L del. d and del L, when i separate for d i get del d^2

So I'm wondering if there are any special rules for squaring a "del"

 

[tiny-tim]

Hi Zerius!

(have a del: ∆ and try using the X² tag just above the Reply box )

… So I'm wondering if there are any special rules for squaring a "del"

You mean as in π(∆d)²(∆L)/4 ?

(∆d)² is just the square of ∆d.

What is the context? Is this part of some larger problem?

 

[HallsofIvy]

How does one deal with a delta squared ? For example, volume is a function of del Diameter and del Length.

If i let v = d^2(pi)L/4, and then call the d and L del. d and del L, when i separate for d i get del d^2

So I'm wondering if there are any special rules for squaring a "del"

All you have done here is call ordinary numbers "delta d" and "delta L". There is nothing at all different about that.

If you are talking about differentials, then with $V= \pi r^2 L$, $dV= 2\pi r L dr+ \pi r^2 dL$. There is only one "dr".

By the way "del" is a common way of referring to the $\nabla$ operator so it is not a good idea to shorten "delta" to "del".