Discussion about math, puzzles, games and fun. Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ • π ƒ -¹ ² ³ °
You are not logged in.
Post a reply
Topic review (newest first)
I think you can always do that. Differentiating is really no different from any other mathematical function. You don't say that you're not allowed to rearrange before adding things, so why should differentiating be any different?
The derivative (as you know) is the slope of the function. If two functions, rearranged algebraically, are truly equivalent, then they should also have the same graph, meaning the same slope, or derivative.
Differentiating the products and quotients of trig functions tend to create a monster, since the product and quotient rule for differentials tend to produce expressions that are a bit on the long side. This tends to lead to a trigonometric identity nightmare! What I'm wondering is, is it ok to rearrange the function, before you differentiate?