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+--- Thread: List of derivatives? (/thread-10905.html)
List of derivatives? - DrD - 06-13-2018 10:28 AM
The command, "diff(expr, var, [Order])," is designed to return derivatives of a specified order; but [Order] does not support a {list} as an argument for the Order option. Is there a convenient way to obtain a list, (or a range), of the derivatives of an expression? (This might be useful for identifying patterns in a series, etc.).
[CAS] Example:
f(x):=ln(x); // ==> {x^-1, -1* x^-2, 2*x^-3 }, With the first three derivatives as the desired "Order."
f'(x);
f''(x);
f'''(x);
-or-
diff(f(x),x,1);
diff(f(x),x,2);
diff(f(x),x,3);
Objective: Obtain a list of the derivatives of an expression from a single command.
Thanks!
-Dale-
RE: List of derivatives? - Didier Lachieze - 06-13-2018 11:26 AM
(06-13-2018 10:28 AM)DrD Wrote: Objective: Obtain a list of the derivatives of an expression from a single command.
map([1,2,3],j->diff(f(x),x,j))
or
apply(j->diff(f(x),x,j),[1,2,3])
RE: List of derivatives? - DrD - 06-13-2018 01:23 PM
Very nice! Thanks, Didier!
-Dale-