i is a step of adding propylene oxide in an average amount exceeding 0 mol and preferably ranging from 1 mol to 6 mol and more preferably ranging from 2 mol to 5 mol to 1 mol of an alcohol having a straight chain alkyl group having 8 to 24 carbon atoms to obtain an alkoxylate propylene oxide addition product of an alcohol this step may be carried out in the same manner as the step a i in the above production method a the step b ii is a step of sulfating the alkoxylate obtained in the above b i followed by neutralizing and may be carried out in the same manner as the step a ii of the above production method a an alkyl sulfate salt component b 1 having a higher average number of added moles of propylene oxide is obtained by the step b ii the step b iii is a step of blending the alkyl sulfate salt obtained in the above b ii and an alkyl sulfate salt component b 2 represented by the formula 2 the mixture becomes the alkyl sulfate salt derivative represented by the formula 1 therefore the component b 1 and the component b 2 are blended such that n in the formula 1 exceeds 0 and is 0 9 mol or less in the production method c the step c i is a step of adding propylene oxide in an average amount exceeding 0 mol and preferably ranging from 1 mol to 6 mol and more preferably ranging from 2 mol to 5 mol to an alcohol having a straight chain alkyl group having 8 to 24 carbon atoms to obtain an alkoxylate.