How do you define an abstract odd function in mathematics? With regard to derivatives

I want to "work symbolically", but not only with a function, but also with derivatives. For example, I would like

f'[x] - f'[-x]

      

to simplify to zero.

Commentary: None of the ways suggested here helped me.

+3


source to share


1 answer


They seem to work, but now you need to create rules for Derivative

not before f

. And since Derivative

it is not protected, you can do something like:

Derivative[n_][f][-x_] := -Derivative[n][f][x]

f''[x] + f'''''''[-x] + f''[-x] + f[x] + f'''''''[x]

      



f[x]

      

this is normal?

+1


source







All Articles