We investigate the response of a quantum particle in the Tietz-Hua quantum potential driven by biharmonic fields – a low and a very high frequency force. The response is characterized by the occurrence of a maximum in the first-order transition probability amplitude, |s|² , under the influence of the applied fields. It is shown that in the absence of the high-frequency component of the applied fields, |s|² shows a distinct sequence of resonances; whereas an increase in the amplitude of the high-frequency field induces minima in |s|². However, the |s|² maximum occurs in the low-frequency regime where it may be considered otherwise weak in the presence of a single harmonic force.