How can I define an abstract odd function in mathematica? With respect to derivatives -
i want "to work symbolically" not function derivatives. instance
f'[x] - f'[-x]
to simplified zero.
comment: neither of ways, suggested here, did not me.
they kind of works need create rules derivative
not f
really. , since derivative
not protected can like:
derivative[n_][f][-x_] := -derivative[n][f][x] f''[x] + f'''''''[-x] + f''[-x] + f[x] + f'''''''[x]
f[x]
is ok?
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