The equivalent inductance of a RLC in parallel
If a resistance has a dependency on the frequency, it's no longer a resistance, but an impedance. That said, frequency-dependent components implies an alternative, equivalent circuit, and then you may no longer have only one resonance, since now you have additional (equivalent) RLCs. However it may be, the same basic rules apply as to any RLC: positive slope means derivative (parallel inductance, series capacitance), negative means integral (series inductance, parallel capacitance), no slope means resistive.