Using artificial intelligence for text extraction can often require handling privacy-sensitive text. To avoid revealing confidential information, data owners and practitioners can use differential privacy, a definition of privacy with provable guarantees. In this work, we show how differential privacy can be applied to feature hashing.Feature hashing is a common technique for handling out-of-dictionary vocabulary, and for creating a lookup table to find feature weights in constant time. One of the special qualities of feature hashing is that all possible features are mapped to a discrete, finite output space. Our proposed technique takes advantage of this fact, and makes hashed feature sets Renyi-differentially private. The technique enables data owners to privatize any model that stores the data-dependent weights in a hash table, and provides protection against inference attacks on the model output, as well as against linkage attacks directly on the model's hashed features and weights. As a case study, we show how we have implemented our technique in commercial software that enables users to train text sequence classifiers on their own documents, and share the classifiers with other users without leaking training data. Results show that even common words can be protected with (0.06, 10^-5)-differential privacy, with only a 1% average reduction in Recall and no change in Precision.