<p>This work investigates the forced response of nonlinearly damped coupled Duffing oscillators with forcing on one oscillator. The analytical results are derived using multi-scale perturbation methods. The paper identifies and analyzes resonance and antiresonance characteristics in the forced response of the oscillators and reports their dependence on system parameters. The analytical study highlights the contrasting behavior of different damping regimes and provides insights into their qualitative and quantitative behaviors. The interplay between nonlinear damping and external forcing demonstrates damping-induced amplitude gain in the system. The underlying mechanisms for the gains in linear and nonlinear damping regimes are connected to the emergence of isolated branches in response. Its connection with nonlinear damping and amplitude gain with nonlinear damping is established with the help of energy balance principles.</p>