In real life, chemically reactive mixtures occur in many situations such as in chemically engineered products, combustion, and many more. The aim of this study is to analyze the flow, heat, and mass transfer analysis of chemically reactive mixed convective flow of hyperbolic tangent fluid having thermal radiation and viscous dissipation in a doubly stratified medium. Appropriate transformations are capitalized to transform the set of partial differential equations into the set of ordinary differential equations (ODEs). A highly efficient BVPh2.0 solver, which is based on the homotopy analysis method, is employed to solve the set of ODEs. The convergence of BVPh2.0 is demonstrated by average- and total-squared residual errors. Finally, the obtained results for velocity, temperature, concentration, skin friction coefficient, and local Nusselt and Sherwood numbers are analyzed by means of graphs and tables. A decrease in the skin friction coefficient Cf corresponding to an increase in the values of the power law index n is noticed. However, an opposite behavior is noticed in the case of the chemical reaction parameter γ. By increasing the Prandtl number Pr, the local Nusselt number shows an increasing behavior while the Sherwood number shows a decreasing behavior. On the other hand, both the local Nusselt and Sherwood numbers show an increasing behavior in the case of the radiation parameter.