How to evaluate A Taylor series at a specific value

[Wes Loewer]

(08-22-2018 07:52 PM)parisse Wrote:  | is evaluated more like a program, where x would be like an argument. taylor(sin(x))|x=0.5 will evaluate sin(x) to sin(0.5) before taylor is called.
It's hard to evaluate |.

I see the difficulty in determining whether the |x=0.5 should be evaluated before or after.

Since taylor(sin(x))|x=0.5 is evaluated before, but ∂(sin(x),x)|x = 0.5 is evaluated after, I assume there is some way in the source code to indicate which functions are "before" and which are "after." Or is ∂() a special case?