A method for continuously producing a product (A1) by way of at least two coupled-together chemical reactions (C1, C2), wherein at least two input substances (E1, E2) are fed to a first chemical reaction (C1), wherein a plurality of intermediate substances (Z1, Z2) are produced from the input substances (E1, E2) by the first chemical reaction (C1), wherein at least one of the intermediate substances (Z2) is fed to a second chemical reaction (C2), wherein the at least one fed intermediate substance (Z2) is further processed by the second chemical reaction (C2), in particular using at least one further substance (W1, W2) in a second chemical reaction (C2) to form a plurality of output substances (A1, A2), that is to say to form the chemical product (A1) and at least one further output substance (A2), wherein the flow rates (Fi) of the fed substances (E1, E2, Z1, W1, W2, A2) that are fed to one of the reactions (C1, C2) are set by a respective actuating element (VE1, VE2, VW1, VW 2, VZ 2, VA1), wherein each of the fed substances is assigned a separate actuating element, wherein a manipulated variable (SE2,R, Si,R) that is stipulated by a controller (RE2, Ri) is respectively applied to at least one of the actuating elements, wherein, for changing the production rate of the chemical product (A1), a temporary manipulated variable (SE2,temp, Si,temp) is respectively applied during a transient phase (II, III) to at least one of these actuating elements (VE2, Vi) instead of the manipulated variables (SE2,R, Si,R) stipulated by the respective controllers (RE2, Ri), wherein the temporary manipulated variable (SE2,temp, Si,temp) or the temporary manipulated variables is/are generated by at least one control unit (SE) in dependence on a default value (NV).